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Modified baer-nunziato model for the Simulation of Interfaces Between Compressible Fluids

Communications in Computational Physics 2011年第4期9卷 1040-1055页

作者： Qiang Wu Xian-Guo Lu De-Kang Mao Department of Mathematics Shanghai UniversityShanghai 200444China Accounting Institute Shanghai Institute of Foreign TradeWenxiang Road 1900SongjiangShanghaiChina Mathematics College Hefei University of TechnologyHefei 230009China

In this paper we proposed a modified baer-nunziato model for compressible multi-fluid flows,with main attention on the energy exchange between the two *** proposed model consists of eleven PDEs;however,the use of the particular phase evolving variables may reduce the model to have only six *** main advantage of the model is that the Abgrall’s UPV criterion on mixture velocity and pressure is satisfied without affecting either its hyperbolicity or its conservations of the two individual masses,momentum or total *** Lax-Friedrichs scheme is built for a particular case of the proposed *** the two fluids in the fluid mixture are both of the linear Mie-Gruneisen type,the scheme satisfies the Abgrall’s UPV criterion on mixture velocity and *** experiments with polytropic,barotropic,stiffened and van der Waals fluids show that the scheme is efficient and able to treat fluids characterized with quite different thermodynamics.

关键词： baer-nunziato model hyperbolicity Abgrall’s UPV criterion

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High Order Accurate Direct Arbitrary-Lagrangian-Eulerian ADER-MOOD Finite Volume Schemes for Non-Conservative Hyperbolic Systems with Stiff Source Terms

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Communications in Computational Physics 2017年第1期21卷 271-312页

作者： Walter Boscheri Raphael Loubere Laboratory of AppliedMathematics Department of CivilEnvironmental and Mechanical EngineeringUniversity of TrentoI-38123 TrentoItaly CNRS and Institut de Mathematiques de Toulouse(IMT)Universite Paul-Sabatier ToulouseFrance

In this paper we present a 2D/3D high order accurate finite volume scheme in the context of direct Arbitrary-Lagrangian-Eulerian algorithms for general hyperbolic systems of partial differential equations with non-conservative products and stiff source *** scheme is constructed with a single stencil polynomial reconstruction operator,a one-step space-time ADER integration which is suitably designed for dealing even with stiff sources,a nodal solver with relaxation to determine the mesh motion,a path-conservative integration technique for the treatment of non-conservative products and an a posteriori stabilization procedure derived from the so-called Multidimensional Optimal Order Detection(MOOD)*** this work we consider the seven equation baer-nunziato model of compressible multi-phase flows as a representative model involving non-conservative products as well as relaxation source terms which are allowed to become *** new scheme is validated against a set of test cases on 2D/3D unstructured moving meshes on parallel machines and the high order of accuracy achieved by the method is demonstrated by performing a numerical convergence *** Riemann problems and explosion problems with exact solutions are simulated in 2D and *** overall numerical code is also profiled to provide an estimate of the computational cost required by each component of the whole algorithm.

关键词： Direct Arbitrary-Lagrangian-Eulerian a posteriori MOOD stabilization baer-nunziato model stiff source terms non-conservative products unstructured mesh ADER high order of accuracy in space and time high performance computing(HPC) hyperbolic conservation laws

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