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ASecond-Order Finite-Difference Method for Compressible Fluids in Domains with moving boundaries

Communications in Computational Physics 2018年第1期23卷 230-263页

作者： Alina Chertock Armando Coco Alexander Kurganov Giovanni Russo Department of Mathematics North Carolina State UniversityRaleighNC 27695USA Department of Mechanical Engineering and Mathematical Sciences Oxford Brookes UniversityOxford OX331HXUK Department of Mathematics Southern University of Science and TechnologyShenzhenGuangdong 518055China and Mathematics DepartmentTulane UniversityNew OrleansLA 70118USA Dipartimento diMatematica ed Informatica Universit`a di Catania95125CataniaItaly.

In this paper,we describe how to construct a finite-difference shockcapturing method for the numerical solution of the Euler equation of gas dynamics on arbitrary two-dimensional domainΩ,possibly with moving *** boundaries of the domain are assumed to be changing due to the movement of solid objects/obstacles/*** the motion of the boundary could be coupled with the fluid,all of the numerical tests are performed assuming that such a motion is prescribed and independent of the fluid *** method is based on discretizing the equation on a regular Cartesian grid in a rectangular domainΩ_(R)⊃Ω.Ωe identify inner and ghost *** inner points are the grid points located insideΩ,while the ghost points are the grid points that are outsideΩbut have at least one neighbor insideΩ.The evolution equations for inner points data are obtained from the discretization of the governing equation,while the data at the ghost points are obtained by a suitable extrapolation of the primitive variables(density,velocities and pressure).Particular care is devoted to a proper description of the boundary conditions for both fixed and time dependent *** numerical experiments are conducted to illustrate the validity of themethod.Ωe demonstrate that the second order of accuracy is numerically assessed on genuinely two-dimensional problems.

关键词： Compressible fluids Euler equations of gas dynamics ghost-cell extrapolation moving boundaries finite-difference shock-capturing methods

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Approach of moving boundary and its application in 3D tidal current simulation of Changjiang (Yangtze) River Estuary based on ECOMSED model

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Acta Oceanologica Sinica 2009年第4期28卷 78-85页

作者： KUANG Cuiping SUN Bo LIU Shuguang GU Jie YU Weiwei Department of Hydraulic Engineering Tongji University Shanghai 200092 China Shanghai Ocean University Shanghai 200090 China

Considering three-dimensional model ECOMSED can not simulate wetting-drying of shoal with its fixed boundary, an approach to represent moving boundary in the model is introduced here. This approach smoothly joints the internal and external mode by making use of wetting and drying technique and is verified by a numerical test which presents a good agreement with the previous test results obtained by other researchers. A three dimensional numerical model is established to simulate the hydrodynamics in spring tide in the Changjiang （Yangtze） River estuary by this modified ECOMSED model which is also validated through the observed field data, the simulation presents a good periodic tidal change. It also successfully simulates the tidal current of computational areas and reproduces the tidal flat intermittent appearance.

关键词： ECOMSED moving boundaries test with variable slope Changjiang (Yangtze) River Estuary 3D tidal numerical model

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An Implicit Scheme for moving Walls and Multi-Material Interfaces in Weakly Compressible Materials

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Communications in Computational Physics 2020年第1期27卷 116-144页

作者： Emanuela Abbate Angelo Iollo Gabriella Puppo Universit`a degli Studi dell’Insubria via ValleggioComo 22100Italy Universit́e Bordeaux IMBUMR 5251F-33400 TalenceFrance Equipe-projet Memphis Inria Bordeaux-Sud OuestF-33400 TalenceFrance La Sapienza Universit`a di Roma Piazzale Aldo Moro00185 RomaItaly

We propose a numerical method for the simulation of flows from weakly compressible to low Mach regimes in domains with moving ***-miscible weakly compressible materials separated by an interface are included as *** scheme is fully implicit and it exploits the relaxation all-speed scheme introduced in[1].We consider media with significantly different physical properties and constitutive laws,as fluids and hyperelastic *** proposed numerical scheme is fully Eulerian and it is the same for all *** present numerical validations by simulating weakly compressible fluid/fluid,solid/solid and solid/fluid interactions.

关键词： Multi-material interfaces moving boundaries low Mach regime Eulerian elasticity

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Velocity-Based moving Mesh Methods for Nonlinear Partial Differential Equations

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Communications in Computational Physics 2011年第8期10卷 509-576页

作者： M.J.Baines M.E.Hubbard P.K.Jimack Department of Mathematics The University of ReadingRG66AXUK. School of Computing University of LeedsLS29JTUK

This article describes a number of velocity-based moving mesh numerical methods for multidimensional nonlinear time-dependent partial differential equations(PDEs).It consists of a short historical review followed by a detailed description of a recently developed multidimensional moving mesh finite element method based on *** element algorithms are derived for both mass-conserving and non mass-conserving problems,and results shown for a number of multidimensional nonlinear test problems,including the second order porous medium equation and the fourth order thin film equation as well as a two-phase *** applications and extensions are referenced.

关键词： Time-dependent nonlinear diffusion moving boundaries finite element method Lagrangian meshes conservation of mass

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A Pseudo-Stokes Mesh Motion Algorithm

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Advances in Applied Mathematics and Mechanics 2013年第2期5卷 194-211页

作者： Luciano Goncalves Noleto Manuel N.D.Barcelos Jr. Antonio C.P.Brasil Jr. Universidade de Brasılia Faculdade de TecnologiaDepartamento de Engenharia MecanicaLaboratorio de Energia e Ambiente.Asa Norte.Brasılia-DFBrasil70.910-900 Universidade de Brasılia no Gama.Complexo de Educa¸c˜ao CulturaEsporte e Lazer.A rea Especial de Industria 1Setor LesteFaculdade Lote 1.Gama-DFBrasil72.444-210

This work presents a moving mesh methodology based on the solution of a pseudo flow *** mesh motion is modeled as a pseudo Stokes problem solved by an explicit finite element projection *** mesh quality requirements are satisfied by employing a null divergent velocity *** methodology is applied to triangular unstructured meshes and compared to well known approaches such as the ones based on diffusion and pseudo structural *** of the test cases is an airfoil with a fully meshed domain.A specific rotation velocity is imposed as the airfoil boundary *** other test is a set of two cylinders that move toward each other.A mesh quality criteria is employed to identify critically distorted elements and to evaluate the performance of each mesh motion *** results obtained for each test case show that the pseudo-flow methodology produces satisfactory meshes during the moving process.

关键词： moving boundaries mesh motion strategy finite element projection methods

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