Study of high-order-accurate limiters for time-dependent contact discontinuity and shock capturing
| Autor: | Tzong-Hann Shieh, Min-Chun Chen |
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| Rok vydání: | 2016 |
| Předmět: |
02 engineering and technology
Computational fluid dynamics 01 natural sciences symbols.namesake 0203 mechanical engineering 0101 mathematics Shock tube Mathematics Numerical Analysis business.industry Numerical analysis Mathematical analysis Condensed Matter Physics Computer Science Applications Euler equations Shock (mechanics) 010101 applied mathematics Discontinuity (linguistics) 020303 mechanical engineering & transports Classical mechanics Riemann problem Mechanics of Materials Modeling and Simulation symbols Flux limiter business |
| Zdroj: | Numerical Heat Transfer, Part B: Fundamentals. 70:56-79 |
| ISSN: | 1521-0626 1040-7790 |
| Popis: | In most applications of computational fluid dynamics (CFD), it is very important to correctly project the interaction phenomena when we compute the typical discontinuous structure. Numerical methods for the conservation law are usually divided into two kinds: One is the “single stepping method”; another is the “semidiscrete scheme”. When the semidiscrete scheme handles the issues of high accuracy and operational process without oscillations, it is a very successful method. In this article, we consider the one-dimensional Euler equations for the Riemann problem of a typical shock tube without external active force to improve the nonphysical numerical oscillation problem near the contact discontinuity interface and shock wave. We try to improve the computational accuracy of numerical resolution of the Riemann problem and reduce nonphysical numerical oscillations through the AUSMDV numerical flux scheme with implementing distinct flux limiters and time-stepping methods. Using the conditions of single... |
| Databáze: | OpenAIRE |
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