Axis-symmetrical Riemann problem solved with standard SPH method. Development of a polar formulation with artificial viscosity
| Autor: | Sébastien Roth, Lorenzo Taddei, Nadhir Lebaal |
|---|---|
| Rok vydání: | 2017 |
| Předmět: |
Mathematical analysis
01 natural sciences Method development Riemann solver 010305 fluids & plasmas Euler equations Computational Mathematics symbols.namesake Riemann hypothesis Riemann problem Computational Theory and Mathematics Modeling and Simulation Viscosity (programming) 0103 physical sciences symbols Polar Development (differential geometry) 010303 astronomy & astrophysics Mathematics |
| Zdroj: | Computers & Mathematics with Applications. 74:3161-3174 |
| ISSN: | 0898-1221 |
| Popis: | This paper presents the development of a cylindrical SPH formulation based on previous study of the literature (Petschek et al) with an explicit formulation for the artificial viscosity. The entire development is explained to propose a formulation adapted to solve Euler equations in the case of a Riemann problem with axis-symmetric conditions. Thus, the artificial viscosity is constructed to find smooth solutions of well-known Riemann problems such as Sod, Noh and Sedov problems. Numerical results are compared to exact solutions and observations are made on numerical parameters influence. This study contributes to validate the axis-symmetrical formulation for pure hydrodynamics tests. |
| Databáze: | OpenAIRE |
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