Gas kinetic flux solver based finite volume weighted essentially non-oscillatory scheme for inviscid compressible flows

作     者：Lan JIANG Jie WU Liming YANG Hao DONG Lan JIANG;Jie WU;Liming YANG;Hao DONG

作者机构：State Key Laboratory of Mechanics and Control of Mechanical StructuresNanjing University of Aeronautics and AstronauticsNanjing 210016China Department of AerodynamicsNanjing University of Aeronautics and AstronauticsNanjing 210016China Key Laboratory of Unsteady Aerodynamics and Flow ControlMinistry of Industry and Information TechnologyNanjing University of Aeronautics and AstronauticsNanjing 210016China 

出 版 物：《Applied Mathematics and Mechanics(English Edition)》 (应用数学和力学（英文版）)

年 卷 期：2023年第44卷第6期

页      面：961-980页

核心收录：

学科分类：080704[工学-流体机械及工程] 080103[工学-流体力学] 08[工学] 0807[工学-动力工程及工程热物理] 0801[工学-力学（可授工学、理学学位）] 

基　　金：Project supported by the National Natural Science Foundation of China(No.12072158) 

主　　题：circular function-based gas kinetic flux solver(C-GKFS) weighted essentially non-oscillatory(WENO)scheme compressible flow finite volume method 

摘      要：A high-order gas kinetic flux solver(GKFS)is presented for simulating inviscid compressible *** weighted essentially non-oscillatory(WENO)scheme on a uniform mesh in the finite volume formulation is combined with the circular function-based GKFS(C-GKFS)to capture more details of the flow fields with fewer *** from most of the current GKFSs,which are constructed based on the Maxwellian distribution function or its equivalent form,the C-GKFS simplifies the Maxwellian distribution function into the circular function,which ensures that the Euler or Navier-Stokes equations can be recovered *** improves the efficiency of the GKFS and reduces its complexity to facilitate the practical application of *** benchmark cases are simulated,and good agreement can be obtained in comparison with the references,which demonstrates that the high-order C-GKFS can achieve the desired accuracy.