The five-equation model of multi-component flows has been attracting much attention among researchers during the past twenty years for its potential in the study of the multi-component flows.In this paper,we employ a ...The five-equation model of multi-component flows has been attracting much attention among researchers during the past twenty years for its potential in the study of the multi-component flows.In this paper,we employ a second order finite volume method with minmod limiter in spatial discretization,which preserves local extrema of certain physical quantities and is thus capable of simulating challenging test problems without introducing non-physical oscillations.Moreover,to improve the numerical resolution of the solutions,the adaptive moving mesh strategy proposed in[Huazhong Tang,Tao Tang,Adaptive mesh methods for one-and two-dimensional hyperbolic conservation laws,SINUM,41:487-515,2003]is applied.Furthermore,the proposed method can be proved to be capable of preserving the velocity and pressure when they are initially constant,which is essential in material interface capturing.Finally,several classical numerical examples demonstrate the effectiveness and robustness of the proposed method.展开更多
The effects of non-physical mixing on interface development are still not reasonably evaluated when diffuse interface methods(DIMs)are employed to treat the two-medium flows with immiscible interfaces,especially for c...The effects of non-physical mixing on interface development are still not reasonably evaluated when diffuse interface methods(DIMs)are employed to treat the two-medium flows with immiscible interfaces,especially for compressible multimedium flows with geometrical source terms.In this work,we simulate radially symmetric multi-medium flows employing the sharp interface methods(SIMs)and DIMs to evaluate their performance such as pressure dislocations,mass conservation,and convergence.The g-based model and the five-equation transport model are two common DIMs,which are extended to equations with geometrical source terms combined with discontinuous Galerkin(DG)methods.For the SIMs,we employ the classical modified ghost fluid method(MGFM)and its second-order extension(2nd-MGFM)developed recently.Numerical results exhibit that the 2nd-MGFM is more effective in maintaining the interfacial pressure equilibrium relative to the MGFM.The DIMs can always maintain the pressure continuity naturally and total mass conservation,which is not available for SIMs.Further,under the premise of immiscible interfaces defined artificially,the DIMs cannot provide satisfactory single medium mass conservation,while the SIMs have a smaller mass error.In addition,compared to the other three methods,the 2nd-MGFM has higher confidence for radially symmetric flows,matching the exact solution in sparser grids.展开更多
基金The research of Yaguang Gu is funded by China Postdoctoral Science Foundation(2021M703040)The research of Dongmi Luo is supported by the National Natural Science Foundation of China(12101063)+3 种基金The research of Zhen Gao is supported by the National Natural Science Foundation of China(11871443)Shandong Provincial Qingchuang Science and Technology Project(2019KJI002)Fundamental Research Funds for the Central Universities(202042004)The research of Yibing Chen is supported by National Key Project(GJXM92579).
文摘The five-equation model of multi-component flows has been attracting much attention among researchers during the past twenty years for its potential in the study of the multi-component flows.In this paper,we employ a second order finite volume method with minmod limiter in spatial discretization,which preserves local extrema of certain physical quantities and is thus capable of simulating challenging test problems without introducing non-physical oscillations.Moreover,to improve the numerical resolution of the solutions,the adaptive moving mesh strategy proposed in[Huazhong Tang,Tao Tang,Adaptive mesh methods for one-and two-dimensional hyperbolic conservation laws,SINUM,41:487-515,2003]is applied.Furthermore,the proposed method can be proved to be capable of preserving the velocity and pressure when they are initially constant,which is essential in material interface capturing.Finally,several classical numerical examples demonstrate the effectiveness and robustness of the proposed method.
基金supported under the National Natural Science Foundation of China(No.12101029)the Postdoctoral Fellowship Program of CPSF under Grant(No.GZC20233380).
文摘The effects of non-physical mixing on interface development are still not reasonably evaluated when diffuse interface methods(DIMs)are employed to treat the two-medium flows with immiscible interfaces,especially for compressible multimedium flows with geometrical source terms.In this work,we simulate radially symmetric multi-medium flows employing the sharp interface methods(SIMs)and DIMs to evaluate their performance such as pressure dislocations,mass conservation,and convergence.The g-based model and the five-equation transport model are two common DIMs,which are extended to equations with geometrical source terms combined with discontinuous Galerkin(DG)methods.For the SIMs,we employ the classical modified ghost fluid method(MGFM)and its second-order extension(2nd-MGFM)developed recently.Numerical results exhibit that the 2nd-MGFM is more effective in maintaining the interfacial pressure equilibrium relative to the MGFM.The DIMs can always maintain the pressure continuity naturally and total mass conservation,which is not available for SIMs.Further,under the premise of immiscible interfaces defined artificially,the DIMs cannot provide satisfactory single medium mass conservation,while the SIMs have a smaller mass error.In addition,compared to the other three methods,the 2nd-MGFM has higher confidence for radially symmetric flows,matching the exact solution in sparser grids.
