dorsal/arxiv
View SchemaOn some numerical methods in application to low-Reynolds-number turbulence models
| Authors | S. V. Utyuzhnikov |
|---|---|
| Categories | |
| ArXiv ID | physics/0308014 |
| URL | https://arxiv.org/abs/physics/0308014 |
Abstract
To study and develop wall-functions for low-Reynolds-number models, a model linear equation is introduced. This equation simulates major mathematical peculiarities of the low-Reynolds-number model including a near wall sub-layer and transition region. Dirichlet and Newman boundary-value problems are considered. The standard and analytical wall-functions are investigated on different properties including the mesh sensitivity of a solution. A Robin-type interpretation of wall functions as boundary conditions is suggested. It is shown that solution of a problem is mesh independent and more accurate in this case. General type analytical and numerical wall-functions are developed on the basis of a boundary condition transfer. An effective numerical method of decomposition is suggested. The method can be used in application to either high-Reynolds-number models with the numerical wall-functions or low-Reynolds-number models directly. Although a model equation is considered, the formulas, methods and conclusions are valid and can be directly used for real low-Reynolds-number equations.
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"abstract": "To study and develop wall-functions for low-Reynolds-number models, a model\nlinear equation is introduced. This equation simulates major mathematical\npeculiarities of the low-Reynolds-number model including a near wall sub-layer\nand transition region. Dirichlet and Newman boundary-value problems are\nconsidered. The standard and analytical wall-functions are investigated on\ndifferent properties including the mesh sensitivity of a solution. A Robin-type\ninterpretation of wall functions as boundary conditions is suggested. It is\nshown that solution of a problem is mesh independent and more accurate in this\ncase. General type analytical and numerical wall-functions are developed on the\nbasis of a boundary condition transfer. An effective numerical method of\ndecomposition is suggested. The method can be used in application to either\nhigh-Reynolds-number models with the numerical wall-functions or\nlow-Reynolds-number models directly. Although a model equation is considered,\nthe formulas, methods and conclusions are valid and can be directly used for\nreal low-Reynolds-number equations.",
"arxiv_id": "physics/0308014",
"authors": [
"S. V. Utyuzhnikov"
],
"categories": [
"physics.comp-ph"
],
"title": "On some numerical methods in application to low-Reynolds-number turbulence models",
"url": "https://arxiv.org/abs/physics/0308014"
},
"schema_id": "dorsal/arxiv",
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