This module provides the definition and methods for MRT advection relaxation scheme for D3Q27 stencil. The weighted MRT is based on the following paper Abbas Fakhari, Diogo Bolster, Li-Shi Luo "A weighted multiple-relaxation-time lattice Boltzmann method for multiphase flows and its application to partial coalescence cascades" Journal of Computational Physics, 2017
Density (rho) and velocity (ux, uy, uz) are conserved during collision. i.e. m(1) = meq(1) --> mneq(1) = 0 m(2) = meq(2) --> mneq(2) = 0 m(3) = meq(3) --> mneq(3) = 0 m(4) = meq(4) --> mneq(4) = 0
Collision parameters are chosen as s(1:4) = 0 s(5:9) = omega s(10) = bulk_omega s(11:27) = 1.0
| Type | Visibility | Attributes | Name | Initial | |||
|---|---|---|---|---|---|---|---|
| integer, | private, | parameter | :: | = | 27 | Definition of the discrete velocity set |
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| integer, | private, | parameter | :: | q000 | = | 27 |
Unoptimized explicit implementation
| Type | Intent | Optional | Attributes | Name | ||
|---|---|---|---|---|---|---|
| type(mus_field_prop_type), | intent(in) | :: | fieldProp(:) | Array of field properties (fluid or species) |
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| real(kind=rk), | intent(in) | :: | inState(nElems*varSys%nScalars) | input pdf vector |
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| real(kind=rk), | intent(out) | :: | outState(nElems*varSys%nScalars) | output pdf vector |
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| real(kind=rk), | intent(inout) | :: | auxField(nElems*varSys%nAuxScalars) | Auxiliary field computed from pre-collision state Is updated with correct velocity field for multicomponent models |
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| integer, | intent(in) | :: | neigh(nElems*layout%fStencil%QQ) | connectivity vector |
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| integer, | intent(in) | :: | nElems | number of elements in state Array |
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| integer, | intent(in) | :: | nSolve | number of elements solved in kernel |
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| integer, | intent(in) | :: | level | current level |
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| type(mus_scheme_layout_type), | intent(in) | :: | layout | current layout |
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| type(mus_param_type), | intent(in) | :: | params | global parameters |
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| type(tem_varSys_type), | intent(in) | :: | varSys | variable system definition |
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| type(mus_derVarPos_type), | intent(in) | :: | derVarPos(:) | position of derived quantities in varsys for all fields |
Unoptimized explicit implementation
| Type | Intent | Optional | Attributes | Name | ||
|---|---|---|---|---|---|---|
| type(mus_field_prop_type), | intent(in) | :: | fieldProp(:) | Array of field properties (fluid or species) |
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| real(kind=rk), | intent(in) | :: | inState(nElems*varSys%nScalars) | input pdf vector |
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| real(kind=rk), | intent(out) | :: | outState(nElems*varSys%nScalars) | output pdf vector |
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| real(kind=rk), | intent(inout) | :: | auxField(nElems*varSys%nAuxScalars) | Auxiliary field computed from pre-collision state Is updated with correct velocity field for multicomponent models |
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| integer, | intent(in) | :: | neigh(nElems*layout%fStencil%QQ) | connectivity vector |
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| integer, | intent(in) | :: | nElems | number of elements in state Array |
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| integer, | intent(in) | :: | nSolve | number of elements solved in kernel |
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| integer, | intent(in) | :: | level | current level |
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| type(mus_scheme_layout_type), | intent(in) | :: | layout | current layout |
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| type(mus_param_type), | intent(in) | :: | params | global parameters |
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| type(tem_varSys_type), | intent(in) | :: | varSys | variable system definition |
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| type(mus_derVarPos_type), | intent(in) | :: | derVarPos(:) | position of derived quantities in varsys for all fields |
Semi-optimized explicit implementation
| Type | Intent | Optional | Attributes | Name | ||
|---|---|---|---|---|---|---|
| type(mus_field_prop_type), | intent(in) | :: | fieldProp(:) | Array of field properties (fluid or species) |
||
| real(kind=rk), | intent(in) | :: | inState(nElems*varSys%nScalars) | input pdf vector |
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| real(kind=rk), | intent(out) | :: | outState(nElems*varSys%nScalars) | output pdf vector |
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| real(kind=rk), | intent(inout) | :: | auxField(nElems*varSys%nAuxScalars) | Auxiliary field computed from pre-collision state Is updated with correct velocity field for multicomponent models |
||
| integer, | intent(in) | :: | neigh(nElems*layout%fStencil%QQ) | connectivity vector |
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| integer, | intent(in) | :: | nElems | number of elements in state Array |
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| integer, | intent(in) | :: | nSolve | number of elements solved in kernel |
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| integer, | intent(in) | :: | level | current level |
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| type(mus_scheme_layout_type), | intent(in) | :: | layout | current layout |
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| type(mus_param_type), | intent(in) | :: | params | global parameters |
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| type(tem_varSys_type), | intent(in) | :: | varSys | variable system definition |
||
| type(mus_derVarPos_type), | intent(in) | :: | derVarPos(:) | position of derived quantities in varsys for all fields |
Semi-optimized explicit implementation
| Type | Intent | Optional | Attributes | Name | ||
|---|---|---|---|---|---|---|
| type(mus_field_prop_type), | intent(in) | :: | fieldProp(:) | Array of field properties (fluid or species) |
||
| real(kind=rk), | intent(in) | :: | inState(nElems*varSys%nScalars) | input pdf vector |
||
| real(kind=rk), | intent(out) | :: | outState(nElems*varSys%nScalars) | output pdf vector |
||
| real(kind=rk), | intent(inout) | :: | auxField(nElems*varSys%nAuxScalars) | Auxiliary field computed from pre-collision state Is updated with correct velocity field for multicomponent models |
||
| integer, | intent(in) | :: | neigh(nElems*layout%fStencil%QQ) | connectivity vector |
||
| integer, | intent(in) | :: | nElems | number of elements in state Array |
||
| integer, | intent(in) | :: | nSolve | number of elements solved in kernel |
||
| integer, | intent(in) | :: | level | current level |
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| type(mus_scheme_layout_type), | intent(in) | :: | layout | current layout |
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| type(mus_param_type), | intent(in) | :: | params | global parameters |
||
| type(tem_varSys_type), | intent(in) | :: | varSys | variable system definition |
||
| type(mus_derVarPos_type), | intent(in) | :: | derVarPos(:) | position of derived quantities in varsys for all fields |