diff --git a/examples/dfLowMachFoam/twoD_supercirticalTGV/0/CH4 b/examples/dfLowMachFoam/twoD_supercirticalTGV/0/CH4
new file mode 100644
index 000000000..8add1c104
--- /dev/null
+++ b/examples/dfLowMachFoam/twoD_supercirticalTGV/0/CH4
@@ -0,0 +1,16437 @@
+/*--------------------------------*- C++ -*----------------------------------*\
+| =========                 |                                                 |
+| \\      /  F ield         | OpenFOAM: The Open Source CFD Toolbox           |
+|  \\    /   O peration     | Version:  5.x                                   |
+|   \\  /    A nd           | Web:      www.OpenFOAM.org                      |
+|    \\/     M anipulation  |                                                 |
+\*---------------------------------------------------------------------------*/
+FoamFile
+{
+    version     2.0;
+    format      ascii;
+    class       volScalarField;
+    location    "0";
+    object       CH4;
+}
+// * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * //
+
+dimensions      [0 0 0 0 0 0 0];
+
+internalField   nonuniform List<scalar>
+16384
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+)
+;
+
+boundaryField
+{
+    front
+    {
+        type            cyclic;
+    }
+    back
+    {
+        type            cyclic;
+    }
+    left
+    {
+        type            cyclic;
+    }
+    right
+    {
+        type            cyclic;
+    }
+    top
+    {
+        type            cyclic;
+    }
+    down
+    {
+        type            cyclic;
+    }
+}
+// ************************************************************************* //
diff --git a/examples/dfLowMachFoam/twoD_supercirticalTGV/0/CO b/examples/dfLowMachFoam/twoD_supercirticalTGV/0/CO
new file mode 100644
index 000000000..f6ed20673
--- /dev/null
+++ b/examples/dfLowMachFoam/twoD_supercirticalTGV/0/CO
@@ -0,0 +1,16437 @@
+/*--------------------------------*- C++ -*----------------------------------*\
+| =========                 |                                                 |
+| \\      /  F ield         | OpenFOAM: The Open Source CFD Toolbox           |
+|  \\    /   O peration     | Version:  5.x                                   |
+|   \\  /    A nd           | Web:      www.OpenFOAM.org                      |
+|    \\/     M anipulation  |                                                 |
+\*---------------------------------------------------------------------------*/
+FoamFile
+{
+    version     2.0;
+    format      ascii;
+    class       volScalarField;
+    location    "0";
+    object       CO;
+}
+// * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * //
+
+dimensions      [0 0 0 0 0 0 0];
+
+internalField   nonuniform List<scalar>
+16384
+(
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+)
+;
+
+boundaryField
+{
+    front
+    {
+        type            cyclic;
+    }
+    back
+    {
+        type            cyclic;
+    }
+    left
+    {
+        type            cyclic;
+    }
+    right
+    {
+        type            cyclic;
+    }
+    top
+    {
+        type            cyclic;
+    }
+    down
+    {
+        type            cyclic;
+    }
+}
+// ************************************************************************* //
diff --git a/examples/dfLowMachFoam/twoD_supercirticalTGV/0/CO2 b/examples/dfLowMachFoam/twoD_supercirticalTGV/0/CO2
new file mode 100644
index 000000000..d401102ae
--- /dev/null
+++ b/examples/dfLowMachFoam/twoD_supercirticalTGV/0/CO2
@@ -0,0 +1,16437 @@
+/*--------------------------------*- C++ -*----------------------------------*\
+| =========                 |                                                 |
+| \\      /  F ield         | OpenFOAM: The Open Source CFD Toolbox           |
+|  \\    /   O peration     | Version:  5.x                                   |
+|   \\  /    A nd           | Web:      www.OpenFOAM.org                      |
+|    \\/     M anipulation  |                                                 |
+\*---------------------------------------------------------------------------*/
+FoamFile
+{
+    version     2.0;
+    format      ascii;
+    class       volScalarField;
+    location    "0";
+    object       CO2;
+}
+// * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * //
+
+dimensions      [0 0 0 0 0 0 0];
+
+internalField   nonuniform List<scalar>
+16384
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+)
+;
+
+boundaryField
+{
+    front
+    {
+        type            cyclic;
+    }
+    back
+    {
+        type            cyclic;
+    }
+    left
+    {
+        type            cyclic;
+    }
+    right
+    {
+        type            cyclic;
+    }
+    top
+    {
+        type            cyclic;
+    }
+    down
+    {
+        type            cyclic;
+    }
+}
+// ************************************************************************* //
diff --git a/examples/dfLowMachFoam/twoD_supercirticalTGV/0/H2O b/examples/dfLowMachFoam/twoD_supercirticalTGV/0/H2O
new file mode 100644
index 000000000..822e367de
--- /dev/null
+++ b/examples/dfLowMachFoam/twoD_supercirticalTGV/0/H2O
@@ -0,0 +1,16437 @@
+/*--------------------------------*- C++ -*----------------------------------*\
+| =========                 |                                                 |
+| \\      /  F ield         | OpenFOAM: The Open Source CFD Toolbox           |
+|  \\    /   O peration     | Version:  5.x                                   |
+|   \\  /    A nd           | Web:      www.OpenFOAM.org                      |
+|    \\/     M anipulation  |                                                 |
+\*---------------------------------------------------------------------------*/
+FoamFile
+{
+    version     2.0;
+    format      ascii;
+    class       volScalarField;
+    location    "0";
+    object       H2O;
+}
+// * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * //
+
+dimensions      [0 0 0 0 0 0 0];
+
+internalField   nonuniform List<scalar>
+16384
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+)
+;
+
+boundaryField
+{
+    front
+    {
+        type            cyclic;
+    }
+    back
+    {
+        type            cyclic;
+    }
+    left
+    {
+        type            cyclic;
+    }
+    right
+    {
+        type            cyclic;
+    }
+    top
+    {
+        type            cyclic;
+    }
+    down
+    {
+        type            cyclic;
+    }
+}
+// ************************************************************************* //
diff --git a/examples/dfLowMachFoam/twoD_supercirticalTGV/0/N2 b/examples/dfLowMachFoam/twoD_supercirticalTGV/0/N2
new file mode 100644
index 000000000..14b65a9cb
--- /dev/null
+++ b/examples/dfLowMachFoam/twoD_supercirticalTGV/0/N2
@@ -0,0 +1,16437 @@
+/*--------------------------------*- C++ -*----------------------------------*\
+| =========                 |                                                 |
+| \\      /  F ield         | OpenFOAM: The Open Source CFD Toolbox           |
+|  \\    /   O peration     | Version:  5.x                                   |
+|   \\  /    A nd           | Web:      www.OpenFOAM.org                      |
+|    \\/     M anipulation  |                                                 |
+\*---------------------------------------------------------------------------*/
+FoamFile
+{
+    version     2.0;
+    format      ascii;
+    class       volScalarField;
+    location    "0";
+    object       N2;
+}
+// * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * //
+
+dimensions      [0 0 0 0 0 0 0];
+
+internalField   nonuniform List<scalar>
+16384
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+)
+;
+
+boundaryField
+{
+    front
+    {
+        type            cyclic;
+    }
+    back
+    {
+        type            cyclic;
+    }
+    left
+    {
+        type            cyclic;
+    }
+    right
+    {
+        type            cyclic;
+    }
+    top
+    {
+        type            cyclic;
+    }
+    down
+    {
+        type            cyclic;
+    }
+}
+// ************************************************************************* //
diff --git a/examples/dfLowMachFoam/twoD_supercirticalTGV/0/O2 b/examples/dfLowMachFoam/twoD_supercirticalTGV/0/O2
new file mode 100644
index 000000000..edd577c3e
--- /dev/null
+++ b/examples/dfLowMachFoam/twoD_supercirticalTGV/0/O2
@@ -0,0 +1,16437 @@
+/*--------------------------------*- C++ -*----------------------------------*\
+| =========                 |                                                 |
+| \\      /  F ield         | OpenFOAM: The Open Source CFD Toolbox           |
+|  \\    /   O peration     | Version:  5.x                                   |
+|   \\  /    A nd           | Web:      www.OpenFOAM.org                      |
+|    \\/     M anipulation  |                                                 |
+\*---------------------------------------------------------------------------*/
+FoamFile
+{
+    version     2.0;
+    format      ascii;
+    class       volScalarField;
+    location    "0";
+    object       O2;
+}
+// * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * //
+
+dimensions      [0 0 0 0 0 0 0];
+
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+;
+
+boundaryField
+{
+    front
+    {
+        type            cyclic;
+    }
+    back
+    {
+        type            cyclic;
+    }
+    left
+    {
+        type            cyclic;
+    }
+    right
+    {
+        type            cyclic;
+    }
+    top
+    {
+        type            cyclic;
+    }
+    down
+    {
+        type            cyclic;
+    }
+}
+// ************************************************************************* //
diff --git a/examples/dfLowMachFoam/twoD_supercirticalTGV/0/T b/examples/dfLowMachFoam/twoD_supercirticalTGV/0/T
new file mode 100644
index 000000000..02ec3c782
--- /dev/null
+++ b/examples/dfLowMachFoam/twoD_supercirticalTGV/0/T
@@ -0,0 +1,16437 @@
+/*--------------------------------*- C++ -*----------------------------------*\
+| =========                 |                                                 |
+| \\      /  F ield         | OpenFOAM: The Open Source CFD Toolbox           |
+|  \\    /   O peration     | Version:  5.x                                   |
+|   \\  /    A nd           | Web:      www.OpenFOAM.org                      |
+|    \\/     M anipulation  |                                                 |
+\*---------------------------------------------------------------------------*/
+FoamFile
+{
+    version     2.0;
+    format      ascii;
+    class       volScalarField;
+    location    "0";
+    object       T;
+}
+// * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * //
+
+dimensions      [0 0 0 1 0 0 0];
+
+internalField   nonuniform List<scalar>
+16384
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+;
+
+boundaryField
+{
+    front
+    {
+        type            cyclic;
+    }
+    back
+    {
+        type            cyclic;
+    }
+    left
+    {
+        type            cyclic;
+    }
+    right
+    {
+        type            cyclic;
+    }
+    top
+    {
+        type            cyclic;
+    }
+    down
+    {
+        type            cyclic;
+    }
+}
+// ************************************************************************* //
diff --git a/examples/dfLowMachFoam/twoD_supercirticalTGV/0/U.gz b/examples/dfLowMachFoam/twoD_supercirticalTGV/0/U.gz
new file mode 100644
index 000000000..181736a07
Binary files /dev/null and b/examples/dfLowMachFoam/twoD_supercirticalTGV/0/U.gz differ
diff --git a/examples/dfLowMachFoam/twoD_supercirticalTGV/0/p b/examples/dfLowMachFoam/twoD_supercirticalTGV/0/p
new file mode 100644
index 000000000..d4cc519c0
--- /dev/null
+++ b/examples/dfLowMachFoam/twoD_supercirticalTGV/0/p
@@ -0,0 +1,50 @@
+/*--------------------------------*- C++ -*----------------------------------*\
+  =========                 |
+  \\      /  F ield         | OpenFOAM: The Open Source CFD Toolbox
+   \\    /   O peration     | Website:  https://openfoam.org
+    \\  /    A nd           | Version:  7
+     \\/     M anipulation  |
+\*---------------------------------------------------------------------------*/
+FoamFile
+{
+    version     2.0;
+    format      ascii;
+    class       volScalarField;
+    location    "0";
+    object      p;
+}
+// * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * //
+
+dimensions      [1 -1 -2 0 0 0 0];
+
+internalField   uniform 1.01325e+07;
+
+boundaryField
+{
+    front
+    {
+        type            cyclic;
+    }
+    back
+    {
+        type            cyclic;
+    }
+    left
+    {
+        type            cyclic;
+    }
+    right
+    {
+        type            cyclic;
+    }
+    top
+    {
+        type            cyclic;
+    }
+    down
+    {
+        type            cyclic;
+    }
+}
+
+// ************************************************************************* //
diff --git a/examples/dfLowMachFoam/twoD_supercirticalTGV/0/x b/examples/dfLowMachFoam/twoD_supercirticalTGV/0/x
new file mode 100644
index 000000000..6a9bb52e5
--- /dev/null
+++ b/examples/dfLowMachFoam/twoD_supercirticalTGV/0/x
@@ -0,0 +1,16437 @@
+/*--------------------------------*- C++ -*----------------------------------*\
+| =========                 |                                                 |
+| \\      /  F ield         | OpenFOAM: The Open Source CFD Toolbox           |
+|  \\    /   O peration     | Version:  5.x                                   |
+|   \\  /    A nd           | Web:      www.OpenFOAM.org                      |
+|    \\/     M anipulation  |                                                 |
+\*---------------------------------------------------------------------------*/
+FoamFile
+{
+    version     2.0;
+    format      ascii;
+    class       volScalarField;
+    location    "0";
+    object       x;
+}
+// * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * //
+
+dimensions      [0 0 0 0 0 0 0];
+
+internalField   nonuniform List<scalar>
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+6.134763607009990e+00
+6.184237507066522e+00
+6.233711407123054e+00
+6.283185307179586e+00
+)
+;
+
+boundaryField
+{
+    front
+    {
+        type            cyclic;
+    }
+    back
+    {
+        type            cyclic;
+    }
+    left
+    {
+        type            cyclic;
+    }
+    right
+    {
+        type            cyclic;
+    }
+    top
+    {
+        type            cyclic;
+    }
+    down
+    {
+        type            cyclic;
+    }
+}
+// ************************************************************************* //
diff --git a/examples/dfLowMachFoam/twoD_supercirticalTGV/2s_CH4_BFER_N2.yaml b/examples/dfLowMachFoam/twoD_supercirticalTGV/2s_CH4_BFER_N2.yaml
new file mode 100644
index 000000000..351d05d08
--- /dev/null
+++ b/examples/dfLowMachFoam/twoD_supercirticalTGV/2s_CH4_BFER_N2.yaml
@@ -0,0 +1,172 @@
+description: |-
+  CH4_BFER mechanisme: CH4 + 1.5 O2  => CO +2H2O
+                   CO + 0.5 O2 <=> CO2
+
+  Transport data from file ../transport/gri30_tran.dat.
+
+generator: cti2yaml
+cantera-version: 3.0.0a4
+date: Tue, 29 Aug 2023 10:31:56 +0800
+input-files: [2s_CH4_BFER.cti]
+
+units: {length: cm, quantity: mol, activation-energy: cal/mol}
+
+phases:
+- name: gas
+  thermo: Peng-Robinson #ideal-gas #Peng-Robinson #real-gas #Peng-Robinson #ideal-gas
+  elements: [O, H, C, N]
+  species: [O2, H2O, CH4, CO, CO2, N2]
+  transport: Chung
+  kinetics: gas
+  reactions: all
+  state:
+    T: 300.0
+    P: 1.01325e+05
+
+species:
+- name: O2
+  composition: {O: 2}
+  thermo:
+    model: NASA7
+    temperature-ranges: [200.0, 1000.0, 3500.0]
+    data:
+    - [3.78245636, -2.99673416e-03, 9.84730201e-06, -9.68129509e-09, 3.24372837e-12,
+      -1063.94356, 3.65767573]
+    - [3.28253784, 1.48308754e-03, -7.57966669e-07, 2.09470555e-10, -2.16717794e-14,
+      -1088.45772, 5.45323129]
+  equation-of-state: 
+    model: Peng-Robinson 
+    a: 1.498106185641390e+11
+    b: 19.83052918
+    acentric-factor: 0.0222
+  transport:
+    model: gas
+    geometry: linear
+    diameter: 3.46
+    well-depth: 107.4
+    polarizability: 1.6
+    rotational-relaxation: 3.8
+  note: TPIS89
+- name: H2O
+  composition: {H: 2, O: 1}
+  thermo:
+    model: NASA7
+    temperature-ranges: [200.0, 1000.0, 3500.0]
+    data:
+    - [4.19864056, -2.0364341e-03, 6.52040211e-06, -5.48797062e-09, 1.77197817e-12,
+      -3.02937267e+04, -0.849032208]
+    - [3.03399249, 2.17691804e-03, -1.64072518e-07, -9.7041987e-11, 1.68200992e-14,
+      -3.00042971e+04, 4.9667701]
+  equation-of-state: 
+    model: Peng-Robinson 
+    a: 6.000722827897430e+11
+    b: 18.9760807
+    acentric-factor: 0
+  transport:
+    model: gas
+    geometry: nonlinear
+    diameter: 2.6
+    well-depth: 572.4
+    dipole: 1.84
+    rotational-relaxation: 4.0
+  note: L 8/89
+- name: CH4
+  composition: {C: 1, H: 4}
+  thermo:
+    model: NASA7
+    temperature-ranges: [200.0, 1000.0, 3500.0]
+    data:
+    - [5.14987613, -0.0136709788, 4.91800599e-05, -4.84743026e-08, 1.66693956e-11,
+      -1.02466476e+04, -4.64130376]
+    - [0.074851495, 0.0133909467, -5.73285809e-06, 1.22292535e-09, -1.0181523e-13,
+      -9468.34459, 18.437318]
+  equation-of-state: 
+    model: Peng-Robinson 
+    a: 2.4957884138747974e+11
+    b: 26.80096489317977
+    acentric-factor: 0.01142
+  transport:
+    model: gas
+    geometry: nonlinear
+    diameter: 3.75
+    well-depth: 141.4
+    polarizability: 2.6
+    rotational-relaxation: 13.0
+  note: L 8/88
+- name: CO
+  composition: {C: 1, O: 1}
+  thermo:
+    model: NASA7
+    temperature-ranges: [200.0, 1000.0, 3500.0]
+    data:
+    - [3.57953347, -6.1035368e-04, 1.01681433e-06, 9.07005884e-10, -9.04424499e-13,
+      -1.4344086e+04, 3.50840928]
+    - [2.71518561, 2.06252743e-03, -9.98825771e-07, 2.30053008e-10, -2.03647716e-14,
+      -1.41518724e+04, 7.81868772]
+  equation-of-state: 
+    model: Peng-Robinson 
+    a: 1.596661315058780E+11
+    b: 24.59531789
+    acentric-factor: 0.05
+  transport:
+    model: gas
+    geometry: linear
+    diameter: 3.65
+    well-depth: 98.1
+    polarizability: 1.95
+    rotational-relaxation: 1.8
+  note: TPIS79
+- name: CO2
+  composition: {C: 1, O: 2}
+  thermo:
+    model: NASA7
+    temperature-ranges: [200.0, 1000.0, 3500.0]
+    data:
+    - [2.35677352, 8.98459677e-03, -7.12356269e-06, 2.45919022e-09, -1.43699548e-13,
+      -4.83719697e+04, 9.90105222]
+    - [3.85746029, 4.41437026e-03, -2.21481404e-06, 5.23490188e-10, -4.72084164e-14,
+      -4.8759166e+04, 2.27163806]
+  equation-of-state: 
+    model: Peng-Robinson 
+    a: 3.964600364529700E+11
+    b: 26.67814512
+    acentric-factor: 0.23
+  transport:
+    model: gas
+    geometry: linear
+    diameter: 3.76
+    well-depth: 244.0
+    polarizability: 2.65
+    rotational-relaxation: 2.1
+  note: L 7/88
+- name: N2
+  composition: {N: 2}
+  thermo:
+    model: NASA7
+    temperature-ranges: [300.0, 1000.0, 5000.0]
+    data:
+    - [3.298677, 1.4082404e-03, -3.963222e-06, 5.641515e-09, -2.444854e-12,
+      -1020.8999, 3.950372]
+    - [2.92664, 1.4879768e-03, -5.68476e-07, 1.0097038e-10, -6.753351e-15,
+      -922.7977, 5.980528]
+  equation-of-state: 
+    model: Peng-Robinson 
+    a: 1.481521374117060e+11
+    b: 24.02424579
+    acentric-factor: 0.0372
+  transport:
+    model: gas
+    geometry: linear
+    diameter: 3.62
+    well-depth: 97.53
+    polarizability: 1.76
+    rotational-relaxation: 4.0
+  note: '121286'
+
+
+reactions:
+- equation: ' CH4 + 1.5 O2 =>  CO + 2 H2O '  # Reaction 1
+  rate-constant: {A: 4.9e+09, b: 0.0, Ea: 35500}
+  orders: {CH4: 0.5, O2: 0.65}
+- equation: ' CO + 0.5 O2 <=> CO2'  # Reaction 2
+  rate-constant: {A: 2.0e+08, b: 0.7, Ea: 12000}
diff --git a/examples/dfLowMachFoam/twoD_supercirticalTGV/Allclean b/examples/dfLowMachFoam/twoD_supercirticalTGV/Allclean
new file mode 100755
index 000000000..2cd9e2246
--- /dev/null
+++ b/examples/dfLowMachFoam/twoD_supercirticalTGV/Allclean
@@ -0,0 +1,9 @@
+#!/bin/sh
+cd ${0%/*} || exit 1    # Run from this directory
+
+echo "Cleaning log.*"
+rm log.*
+echo "Cleaning processor*"
+rm -r processor*
+echo "Cleaning polyMesh/"
+rm -r constant/polyMesh
diff --git a/examples/dfLowMachFoam/twoD_supercirticalTGV/Allrun b/examples/dfLowMachFoam/twoD_supercirticalTGV/Allrun
new file mode 100755
index 000000000..8cd1cbdd5
--- /dev/null
+++ b/examples/dfLowMachFoam/twoD_supercirticalTGV/Allrun
@@ -0,0 +1,11 @@
+#!/bin/sh
+cd ${0%/*} || exit 1    # Run from this directory
+
+# Source tutorial run functions
+. $WM_PROJECT_DIR/bin/tools/RunFunctions
+
+application=dfLowMachFoam
+
+runApplication blockMesh
+runApplication decomposePar
+runApplication mpirun -np 4 --allow-run-as-root $application -parallel
diff --git a/examples/dfLowMachFoam/twoD_supercirticalTGV/constant/CanteraTorchProperties b/examples/dfLowMachFoam/twoD_supercirticalTGV/constant/CanteraTorchProperties
new file mode 100644
index 000000000..6e3d81cf8
--- /dev/null
+++ b/examples/dfLowMachFoam/twoD_supercirticalTGV/constant/CanteraTorchProperties
@@ -0,0 +1,51 @@
+/*--------------------------------*- C++ -*----------------------------------*\
+  =========                 |
+  \\      /  F ield         | OpenFOAM: The Open Source CFD Toolbox
+   \\    /   O peration     | Website:  https://openfoam.org
+    \\  /    A nd           | Version:  7
+     \\/     M anipulation  |
+\*---------------------------------------------------------------------------*/
+FoamFile
+{
+    version          2.0;
+    format           ascii;
+    class            dictionary;
+    location         "constant";
+    object           CanteraTorchProperties;
+}
+// * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * //
+
+chemistry            on;
+
+CanteraMechanismFile "2s_CH4_BFER_N2.yaml";
+
+transportModel       "Chung";
+
+odeCoeffs
+{
+    "relTol"         1e-6;
+    "absTol"         1e-10;
+}
+
+inertSpecie          "N2";
+
+splittingStrategy    off;
+
+TorchSettings
+{
+    torch            off;
+    GPU              off;
+    log              off;
+    torchModel       "HE04_Hydrogen_ESH2_GMS_sub_20221101"; 
+    coresPerNode     4;
+}
+
+loadbalancing
+{
+    active           true;
+    log              false;
+    algorithm        allAverage;//headTail;
+}
+
+
+// ************************************************************************* //
diff --git a/examples/dfLowMachFoam/twoD_supercirticalTGV/constant/combustionProperties b/examples/dfLowMachFoam/twoD_supercirticalTGV/constant/combustionProperties
new file mode 100644
index 000000000..7418500d0
--- /dev/null
+++ b/examples/dfLowMachFoam/twoD_supercirticalTGV/constant/combustionProperties
@@ -0,0 +1,20 @@
+/*--------------------------------*- C++ -*----------------------------------*\
+  =========                 |
+  \\      /  F ield         | OpenFOAM: The Open Source CFD Toolbox
+   \\    /   O peration     | Website:  https://openfoam.org
+    \\  /    A nd           | Version:  7
+     \\/     M anipulation  |
+\*---------------------------------------------------------------------------*/
+FoamFile
+{
+    version     2.0;
+    format      ascii;
+    class       dictionary;
+    location    "constant";
+    object      combustionProperties;
+}
+// * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * //
+
+combustionModel  laminar;
+
+// ************************************************************************* //
diff --git a/examples/dfLowMachFoam/twoD_supercirticalTGV/constant/thermophysicalProperties b/examples/dfLowMachFoam/twoD_supercirticalTGV/constant/thermophysicalProperties
new file mode 100644
index 000000000..7f207bb77
--- /dev/null
+++ b/examples/dfLowMachFoam/twoD_supercirticalTGV/constant/thermophysicalProperties
@@ -0,0 +1,18 @@
+/*--------------------------------*- C++ -*----------------------------------*\
+  =========                 |
+  \\      /  F ield         | OpenFOAM: The Open Source CFD Toolbox
+   \\    /   O peration     | Website:  https://openfoam.org
+    \\  /    A nd           | Version:  7
+     \\/     M anipulation  |
+\*---------------------------------------------------------------------------*/
+FoamFile
+{
+    version     2.0;
+    format      ascii;
+    class       dictionary;
+    location    "constant";
+    object      thermophysicalProperties;
+}
+// * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * //
+
+// ************************************************************************* //
diff --git a/examples/dfLowMachFoam/twoD_supercirticalTGV/constant/turbulenceProperties b/examples/dfLowMachFoam/twoD_supercirticalTGV/constant/turbulenceProperties
new file mode 100644
index 000000000..ab70e94d3
--- /dev/null
+++ b/examples/dfLowMachFoam/twoD_supercirticalTGV/constant/turbulenceProperties
@@ -0,0 +1,21 @@
+/*--------------------------------*- C++ -*----------------------------------*\
+  =========                 |
+  \\      /  F ield         | OpenFOAM: The Open Source CFD Toolbox
+   \\    /   O peration     | Website:  https://openfoam.org
+    \\  /    A nd           | Version:  7
+     \\/     M anipulation  |
+\*---------------------------------------------------------------------------*/
+FoamFile
+{
+    version     2.0;
+    format      ascii;
+    class       dictionary;
+    location    "constant";
+    object      turbulenceProperties;
+}
+// * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * //
+
+simulationType  laminar;
+
+
+// ************************************************************************* //
diff --git a/examples/dfLowMachFoam/twoD_supercirticalTGV/system/blockMeshDict b/examples/dfLowMachFoam/twoD_supercirticalTGV/system/blockMeshDict
new file mode 100644
index 000000000..29cfa06c2
--- /dev/null
+++ b/examples/dfLowMachFoam/twoD_supercirticalTGV/system/blockMeshDict
@@ -0,0 +1,103 @@
+/*--------------------------------*- C++ -*----------------------------------*\
+  =========                 |
+  \\      /  F ield         | OpenFOAM: The Open Source CFD Toolbox
+   \\    /   O peration     | Website:  https://openfoam.org
+    \\  /    A nd           | Version:  7
+     \\/     M anipulation  |
+\*---------------------------------------------------------------------------*/
+FoamFile
+{
+    version     2.0;
+    format      ascii;
+    class       dictionary;
+    object      blockMeshDict;
+}
+// * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * //
+
+convertToMeters 0.00003;
+
+vertices
+(
+    (0 0 0)
+    (6.283185307179586 0 0)
+    (6.283185307179586 6.283185307179586 0)
+    (0 6.283185307179586 0)
+    (0 0 6.283185307179586)
+    (6.283185307179586 0 6.283185307179586)
+    (6.283185307179586 6.283185307179586 6.283185307179586)
+    (0 6.283185307179586 6.283185307179586)
+);
+
+
+blocks
+(
+    hex (0 1 2 3 4 5 6 7) (128 128 1) simpleGrading (1 1 1)
+);
+
+edges
+(
+);
+
+boundary
+(
+    front
+    {
+        type cyclic;
+        neighbourPatch back;
+        faces
+        (
+            (4 5 6 7)
+        );
+    }
+    back
+    {
+        type cyclic;
+        neighbourPatch front;
+        faces
+        (
+            (0 3 2 1)
+        );
+    }
+    left
+    {
+        type cyclic;
+        neighbourPatch right;
+        faces
+        (
+            (0 4 7 3)
+        );
+    }
+    right
+    {
+        type cyclic;
+        neighbourPatch left;
+        faces
+        (
+            (2 6 5 1)
+        );
+    }
+    top
+    {
+        type cyclic;
+        neighbourPatch down;
+        faces
+        (
+            (3 7 6 2)
+        );
+    }
+    down
+    {
+        type cyclic;
+        neighbourPatch top;
+        faces
+        (
+            (1 5 4 0)
+        );
+    }
+);
+
+// mergePatchPairs
+// (
+// );
+
+// ************************************************************************* //
diff --git a/examples/dfLowMachFoam/twoD_supercirticalTGV/system/controlDict b/examples/dfLowMachFoam/twoD_supercirticalTGV/system/controlDict
new file mode 100644
index 000000000..b99edbf12
--- /dev/null
+++ b/examples/dfLowMachFoam/twoD_supercirticalTGV/system/controlDict
@@ -0,0 +1,59 @@
+/*--------------------------------*- C++ -*----------------------------------*\
+  =========                 |
+  \\      /  F ield         | OpenFOAM: The Open Source CFD Toolbox
+   \\    /   O peration     | Website:  https://openfoam.org
+    \\  /    A nd           | Version:  7
+     \\/     M anipulation  |
+\*---------------------------------------------------------------------------*/
+FoamFile
+{
+    version     2.0;
+    format      ascii;
+    class       dictionary;
+    location    "system";
+    object      controlDict;
+}
+// * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * //
+
+application     dfLowMachFoam;
+
+startFrom       startTime;
+
+startTime       0;
+
+stopAt          endTime;
+
+endTime         1e-5;
+
+deltaT          1e-8;
+
+maxDeltaT       1e-04;
+
+adjustTimeStep  off;
+
+writeControl    adjustableRunTime;
+
+writeInterval   7.5e-06;
+
+purgeWrite      0;
+
+writeFormat     ascii;
+
+// writePrecision    6;
+
+writeCompression on;
+
+timeFormat      general;
+
+timePrecision   6;
+
+runTimeModifiable true;
+
+// adjustTimeStep yes;
+
+// maxCo  0.8;
+
+// maxDeltaT 1e-4;
+
+
+// ************************************************************************* //
diff --git a/examples/dfLowMachFoam/twoD_supercirticalTGV/system/decomposeParDict b/examples/dfLowMachFoam/twoD_supercirticalTGV/system/decomposeParDict
new file mode 100644
index 000000000..45c7f859f
--- /dev/null
+++ b/examples/dfLowMachFoam/twoD_supercirticalTGV/system/decomposeParDict
@@ -0,0 +1,45 @@
+/*--------------------------------*- C++ -*----------------------------------*\
+  =========                 |
+  \\      /  F ield         | OpenFOAM: The Open Source CFD Toolbox
+   \\    /   O peration     | Website:  https://openfoam.org
+    \\  /    A nd           | Version:  7
+     \\/     M anipulation  |
+\*---------------------------------------------------------------------------*/
+FoamFile
+{
+    version     2.0;
+    format      ascii;
+    class       dictionary;
+    location    "system";
+    object      decomposeParDict;
+}
+// * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * //
+
+numberOfSubdomains 4;
+
+method          scotch;
+
+simpleCoeffs
+{
+    n               (4 1 1);
+    delta           0.001;
+}
+
+hierarchicalCoeffs
+{
+    n               (1 1 1);
+    delta           0.001;
+    order           xyz;
+}
+
+manualCoeffs
+{
+    dataFile        "";
+}
+
+distributed     no;
+
+roots           ( );
+
+
+// ************************************************************************* //
diff --git a/examples/dfLowMachFoam/twoD_supercirticalTGV/system/funkySetFieldsDict b/examples/dfLowMachFoam/twoD_supercirticalTGV/system/funkySetFieldsDict
new file mode 100644
index 000000000..138afee0d
--- /dev/null
+++ b/examples/dfLowMachFoam/twoD_supercirticalTGV/system/funkySetFieldsDict
@@ -0,0 +1,29 @@
+/*--------------------------------*- C++ -*----------------------------------*\
+  =========                 |
+  \\      /  F ield         | OpenFOAM: The Open Source CFD Toolbox
+   \\    /   O peration     | Website:  https://openfoam.org
+    \\  /    A nd           | Version:  7
+     \\/     M anipulation |
+\*---------------------------------------------------------------------------*/
+FoamFile
+{
+    version     2.0;
+    format      ascii;
+    class       dictionary;
+    location    "system";
+    object      funkySetFieldsDict;
+}
+// * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * //
+
+expressions
+ (
+TGV_U  
+    {
+     field U; 
+     expression "vector(4*sin(pos().x/0.00003)*cos(pos().y/0.00003)*cos(pos().z/0.00003),-4*cos(pos().x/0.00003)*sin(pos().y/0.00003)*cos(pos().z/0.00003),0)"; 
+     keepPatches 1; 
+    }
+ );
+
+
+// ************************************************************************* //
diff --git a/examples/dfLowMachFoam/twoD_supercirticalTGV/system/fvSchemes b/examples/dfLowMachFoam/twoD_supercirticalTGV/system/fvSchemes
new file mode 100644
index 000000000..c5c9136e5
--- /dev/null
+++ b/examples/dfLowMachFoam/twoD_supercirticalTGV/system/fvSchemes
@@ -0,0 +1,61 @@
+/*--------------------------------*- C++ -*----------------------------------*\
+  =========                 |
+  \\      /  F ield         | OpenFOAM: The Open Source CFD Toolbox
+   \\    /   O peration     | Website:  https://openfoam.org
+    \\  /    A nd           | Version:  7
+     \\/     M anipulation  |
+\*---------------------------------------------------------------------------*/
+FoamFile
+{
+    version     2.0;
+    format      ascii;
+    class       dictionary;
+    location    "system";
+    object      fvSchemes;
+}
+// * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * //
+
+ddtSchemes
+{
+    default         Euler;
+}
+
+gradSchemes
+{
+    default         Gauss linear;
+}
+
+divSchemes
+{
+    default             none;
+
+    div(phi,U)          Gauss linear;
+    div(phi,Yi)         Gauss limitedLinear01 1;
+    div(phi,h)          Gauss limitedLinear 1;
+    div(phi,ha)          Gauss limitedLinear 1;
+    div(phi,K)          Gauss limitedLinear 1;
+    div(phid,p)         Gauss limitedLinear 1;
+    div(phi,epsilon)    Gauss limitedLinear 1;
+    div(phi,Yi_h)       Gauss limitedLinear01 1;
+    div(phi,k)          Gauss limitedLinear 1;
+    div(hDiffCorrFlux)             Gauss cubic;
+    div(((rho*nuEff)*dev2(T(grad(U)))))     Gauss linear;
+}
+
+laplacianSchemes
+{
+    default         Gauss linear orthogonal;
+}
+
+interpolationSchemes
+{
+    default         linear;
+}
+
+snGradSchemes
+{
+    default         orthogonal;
+}
+
+
+// ************************************************************************* //
diff --git a/examples/dfLowMachFoam/twoD_supercirticalTGV/system/fvSolution b/examples/dfLowMachFoam/twoD_supercirticalTGV/system/fvSolution
new file mode 100644
index 000000000..73baadbf7
--- /dev/null
+++ b/examples/dfLowMachFoam/twoD_supercirticalTGV/system/fvSolution
@@ -0,0 +1,89 @@
+/*--------------------------------*- C++ -*----------------------------------*\
+  =========                 |
+  \\      /  F ield         | OpenFOAM: The Open Source CFD Toolbox
+   \\    /   O peration     | Website:  https://openfoam.org
+    \\  /    A nd           | Version:  7
+     \\/     M anipulation  |
+\*---------------------------------------------------------------------------*/
+FoamFile
+{
+    version     2.0;
+    format      ascii;
+    class       dictionary;
+    location    "system";
+    object      fvSolution;
+}
+// * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * //
+
+solvers
+{
+    "rho.*"
+    {
+        solver          diagonal;
+    }
+
+    p
+    {
+        solver          GAMG;
+        tolerance       1e-7;
+        relTol          0.01;
+        smoother        GaussSeidel;
+        cacheAgglomeration true;
+        nCellsInCoarsestLevel 20;
+        agglomerator    faceAreaPair;
+        mergeLevels     1;
+    }
+
+    pFinal
+    {
+        solver          GAMG;
+        tolerance       1e-9;
+        relTol          0;
+        smoother        GaussSeidel;
+        cacheAgglomeration true;
+        nCellsInCoarsestLevel 20;
+        agglomerator    faceAreaPair;
+        mergeLevels     1;
+    }
+
+    "(U|ha|k|epsilon)"
+    {
+        solver          PBiCGStab;
+        preconditioner  DILU;
+        tolerance       1e-7;
+        relTol          0.01;
+    }
+
+    "(U|ha|k|epsilon)Final"
+    {
+        $U;
+        tolerance       1e-9;
+        relTol          0;
+    }
+
+    "Yi"
+    {
+        solver          PBiCGStab;
+        preconditioner  DILU;
+        tolerance       1e-7;
+        relTol          0.01;
+    }
+    "YiFinal"
+    {
+        solver          PBiCGStab;
+        preconditioner  DILU;
+        tolerance       1e-9;
+        relTol          0;
+    }
+}
+
+PIMPLE
+{
+    momentumPredictor yes;
+    nOuterCorrectors  1;
+    nCorrectors     2;
+    nNonOrthogonalCorrectors 0;
+}
+
+
+// ************************************************************************* //