Finite Element Based Riemann Solvers for Time-Dependent and Steady-State Radiation Transport
| Autor: | C. C. Pain, R.P. Smedley-Stevenson, C.R.E. de Oliveira, Adrian Umpleby, A.J.H. Goddard, J. Bowsher, M. D. Eaton |
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| Rok vydání: | 2003 |
| Předmět: |
Finite volume method
Applied Mathematics Mathematical analysis General Physics and Astronomy Transportation Statistical and Nonlinear Physics Mixed finite element method Boltzmann equation Riemann solver Control volume Finite element method symbols.namesake Riemann problem symbols Flux limiter Mathematical Physics Mathematics |
| Zdroj: | Transport Theory and Statistical Physics. 32:699-712 |
| ISSN: | 1532-2424 0041-1450 |
| Popis: | A high-order, nonoscillatory scheme is described which solves the transient and steady-state Boltzmann transport equation on unstructured Finite Element (FE) meshes. Flux limiters are applied in the space and time domains resulting in a scheme which is both free from oscillations and globally high-order accurate in space and time. The method described is finite volume based and uses a consistent FE representation of the solution variables to obtain a high-order solution along the control volume boundaries. Careful inspection of the eigenstructure of the Riemann problem allows one to switch smoothly between a high-order and a low-order nonoscillatory solution. |
| Databáze: | OpenAIRE |
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