Improving the High Order Spectral Volume Formulation Using a Diffusion Regulator  

作　　者：Ravi Kannan Zhijian Wang 

机构地区：[1]CFD Research Corporation,215Wynn Drive,Huntsville,AL 35805,USA [2]Iowa State University,Howe Hall,Ames,IA 50011,USA

出　　处：《Communications in Computational Physics》2012年第6期247-260,共14页计算物理通讯（英文）

基　　金：The first author gratefully acknowledges and appreciates the discussions he had with Prof.Raghurama Rao and Dr.Jaisankar,Indian Institute of Science,Bangalore,India.

摘　　要：The concept of diffusion regulation(DR)was originally proposed by Jaisankar for traditional second order finite volume Euler solvers.This was used to decrease the inherent dissipation associated with using approximate Riemann solvers.In this paper,the above concept is extended to the high order spectral volume(SV)method.The DR formulation was used in conjunction with the Rusanov flux to handle the inviscid flux terms.Numerical experiments were conducted to compare and contrast the original and the DR formulations.These experiments demonstrated(i)retention of high order accuracy for the new formulation,(ii)higher fidelity of the DR formulation,when compared to the original scheme for all orders and(iii)straightforward extension to Navier Stokes equations,since the DR does not interfere with the discretization of the viscous fluxes.In general,the 2D numerical results are very promising and indicate that the approach has a great potential for 3D flow problems.

关 键 词：Diffusion regulation spectral volume HIGH-ORDER Rusanov flux Navier Stokes equations 

分 类 号：O17[理学—数学]