In this presentation, we propose a high order finite volume method for solving multicomponent fluid problems. Our method couples the quasi-conservative form with the reconstruction of conservative variables in a characteristic manner. The source term and numerical fluxes are carefully designed to maintain the pressure and velocity equilibrium for the interface-only problem and preserve the equilibrium of physical parameters in a single-component fluid. These ingredients enable our scheme to achieve both high order accuracy in the smooth region and high resolution in the discontinuity region of the solution. Extensive numerical tests are performed to verify the high resolution and accuracy of the scheme.

邱建贤, 厦门大学数学科学学院教授, 国际著名刊物 "J. Comp. Phys."(计算物理) 编委。从事计算流体力学及微分方程数值解法的研究工作, 在间断Galerkin(DG)、加权本质无振荡(WENO)数值方法的研究及其应用方面取得了一些重要成果, 已发表论文一百多篇。主持国家自然科学基金重点项目、联合基金重点支持项目和国家重点研发项目之课题各一项, 参与欧盟第六框架特别研究项目, 是项目组中唯一非欧盟的成员, 多次应邀在国际会议上作大会报告。获2020年度教育部自然科学奖二等奖, 2021年度福建省自然科学奖二等奖各一项。