Derivation and characteristics analysis of an acoustics-convection upstream resolution algorithm for the two-dimensional Euler and Navier-Stokes equations
| Autor: | Joe Iannelli |
|---|---|
| Rok vydání: | 2005 |
| Předmět: |
Series (mathematics)
Discretization business.industry Applied Mathematics Mechanical Engineering Acoustics Computational Mechanics Upwind scheme Computational fluid dynamics Computer Science Applications Euler equations symbols.namesake Mechanics of Materials Jacobian matrix and determinant symbols Euler's formula business Navier–Stokes equations Mathematics |
| Zdroj: | International Journal for Numerical Methods in Fluids. 49:1233-1260 |
| ISSN: | 1097-0363 0271-2091 |
| DOI: | 10.1002/fld.989 |
| Popis: | SUMMARY Therst of a two-paper series, this paper introduces a new decomposition not of the hyperbolicux vector but of theux vector Jacobian. The paper then details for the Euler and Navier-Stokes equations an intrinsically innite directional upstream-bias formulation that rests on the mathematics and physics of multi-dimensional acoustics and convection. Based upon characteristic velocities, this formulation introduces the upstream bias directly at the dierential equation level, before the spatial discretization, within a characteristics-bias governing system. Through a decomposition of the Eulerux divergence into multi-dimensional acoustics and convection-acoustics components, this characteristics-bias system induces consistent upstream bias along all directions of spatial wave propagation, with anisotropic variable-strength upstreaming that correlates with the spatial distribution of characteristic velocities. Copyright ? 2005 John Wiley & Sons, Ltd. |
| Databáze: | OpenAIRE |
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