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A Compact High Order Space-Time Method for Conservation Laws
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作者 Shuangzhang Tu Gordon W.Skelton Qing Pang 《Communications in Computational Physics》 SCIE 2011年第2期441-480,共40页
This paper presents a novel high-order space-time method for hyperbolic conservation laws.Two important concepts,the staggered space-time mesh of the space-time conservation element/solution element(CE/SE)method and t... This paper presents a novel high-order space-time method for hyperbolic conservation laws.Two important concepts,the staggered space-time mesh of the space-time conservation element/solution element(CE/SE)method and the local discontinuous basis functions of the space-time discontinuous Galerkin(DG)finite element method,are the two key ingredients of the new scheme.The staggered spacetime mesh is constructed using the cell-vertex structure of the underlying spatial mesh.The universal definitions of CEs and SEs are independent of the underlying spatial mesh and thus suitable for arbitrarily unstructured meshes.The solution within each physical time step is updated alternately at the cell level and the vertex level.For this solution updating strategy and the DG ingredient,the new scheme here is termed as the discontinuous Galerkin cell-vertex scheme(DG-CVS).The high order of accuracy is achieved by employing high-order Taylor polynomials as the basis functions inside each SE.The present DG-CVS exhibits many advantageous features such as Riemann-solver-free,high-order accuracy,point-implicitness,compactness,and ease of handling boundary conditions.Several numerical tests including the scalar advection equations and compressible Euler equations will demonstrate the performance of the new method. 展开更多
关键词 High order method space-time method cell-vertex scheme(CVS) conservation laws
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求解Euler方程的高精度的空间──时间守恒格式 被引量:1
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作者 杨吉民 徐建中 《工程热物理学报》 EI CAS CSCD 北大核心 2000年第2期156-160,共5页
空间-时间守恒(STC)格式是近年来发展出的一种计算格式,在现有的STC格式构造过程中,流动变量在解元中的分布都用其一阶Taylor展开式来表示。STC格式的精度与所采用的Taylor展开式的阶数有关。该文采用流动变... 空间-时间守恒(STC)格式是近年来发展出的一种计算格式,在现有的STC格式构造过程中,流动变量在解元中的分布都用其一阶Taylor展开式来表示。STC格式的精度与所采用的Taylor展开式的阶数有关。该文采用流动变量的二阶Taylor展开式来表示其在解元上的分布,构造出了求解一维Euler方程的STC格式。用该格式对几个问题进行了计算,将计算结果与精确解进行了比较,比较表明该格式有较高的精度。 展开更多
关键词 EULER方程 stc格式 计算流体力学
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求解Euler方程的空间—时间守恒格式 被引量:8
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作者 刘海涛 徐建中 《工程热物理学报》 EI CAS CSCD 北大核心 1997年第3期294-299,共6页
本文在CE/SE方法的基础上,提出了空间-时间守恒(STC)格式,其特点是构造简单,物理概念清晰,守恒性好,计算速度快且精度高,容易推广到多维流动及粘性流动。通过对二维Euler方程STC格式的介绍,可以看出这一方法的主要特点。与... 本文在CE/SE方法的基础上,提出了空间-时间守恒(STC)格式,其特点是构造简单,物理概念清晰,守恒性好,计算速度快且精度高,容易推广到多维流动及粘性流动。通过对二维Euler方程STC格式的介绍,可以看出这一方法的主要特点。与其它格式的计算结果或精确解相比较表明,用STC格式计算的结果是令人满意的。 展开更多
关键词 数值方法 流体动力学 stc格式 CE/SE
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The Space-Time CE/SE Method for Solving Reduced Two-Fluid Flow Model
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作者 Shamsul Qamar Munshoor Ahmed Ishtiaq Ali 《Communications in Computational Physics》 SCIE 2012年第9期1070-1095,共26页
The space-time conservation element and solution element(CE/SE)method is proposed for solving a conservative interface-capturing reducedmodel of compressible two-fluid flows.The flow equations are the bulk equations,c... The space-time conservation element and solution element(CE/SE)method is proposed for solving a conservative interface-capturing reducedmodel of compressible two-fluid flows.The flow equations are the bulk equations,combined with mass and energy equations for one of the two fluids.The latter equation contains a source term for accounting the energy exchange.The one and two-dimensional flow models are numerically investigated in this manuscript.The CE/SE method is capable to accurately capture the sharp propagating wavefronts of the fluids without excessive numerical diffusion or spurious oscillations.In contrast to the existing upwind finite volume schemes,the Riemann solver and reconstruction procedure are not the building block of the suggested method.The method differs from the previous techniques because of global and local flux conservation in a space-time domain without resorting to interpolation or extrapolation.In order to reveal the efficiency and performance of the approach,several numerical test cases are presented.For validation,the results of the current method are compared with other finite volume schemes. 展开更多
关键词 Reduced model space-time CE/SE method central schemes conservation laws hyperbolic systems shock solutions
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