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Application of a fourth-order relaxation scheme to hyperbolic systems of conservation laws 被引量:7
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作者 Jianzhong Chen Zhongke Shi 《Acta Mechanica Sinica》 SCIE EI CAS CSCD 2006年第1期84-92,共9页
A fourth-order relaxation scheme is derived and applied to hyperbolic systems of conservation laws in one and two space dimensions. The scheme is based on a fourthorder central weighted essentially nonoscillatory (CW... A fourth-order relaxation scheme is derived and applied to hyperbolic systems of conservation laws in one and two space dimensions. The scheme is based on a fourthorder central weighted essentially nonoscillatory (CWENO) reconstruction for one-dimensional cases, which is generalized to two-dimensional cases by the dimension-by-dimension approach. The large stability domain Runge-Kutta-type solver ROCK4 is used for time integration. The resulting method requires neither the use of Riemann solvers nor the computation of Jacobians and therefore it enjoys the main advantage of the relaxation schemes. The high accuracy and high-resolution properties of the present method are demonstrated in one- and two-dimensional numerical experiments. 展开更多
关键词 Hyperbolic systems of conservation laws Relaxation schemes CWENO reconstruction
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A study of parameter-free shock capturing upwind schemes on low speeds' issues 被引量:2
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作者 QU Feng YAN Chao +1 位作者 YU Jian SUN Di 《Science China(Technological Sciences)》 SCIE EI CAS 2014年第6期1183-1190,共8页
Nowadays,the upwind schemes are in a rapid development to capture shock accurately.However,these upwind schemes’properties at low speeds,such as their reconstruction scheme dependencies,grid dependencies,and Mach num... Nowadays,the upwind schemes are in a rapid development to capture shock accurately.However,these upwind schemes’properties at low speeds,such as their reconstruction scheme dependencies,grid dependencies,and Mach number dependencies,are concerned by few people.In this paper,a systematic study on their low speeds’issues is conducted.Through a series of tests,we can find that most parameter-free upwind schemes,widely used in practice today,are not applicable to low speeds’simulations.In contrast,SLAU and SLAU2 can give reliable results.Also,the upwind scheme’s influence on the accuracy is stronger than the reconstruction scheme’s influence at low speeds. 展开更多
关键词 low speeds slau parameter-free reconstruction scheme dependency grid dependency mach number dependency upwind schemes
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