A Higher-Order Chimera Method for Finite Volume Schemes

A Higher-Order Chimera Method for Finite Volume Schemes In this work a higher-order accurate finite volume method for the resolution of the Euler/Navier–Stokes equations using Chimera grid techniques is presented. The formulation is based on the use of Moving Least Squares approximations in order to obtain higher-order accurate reconstruction and connectivity between the overlapped grids. The accuracy and performance of the proposed methodology is demonstrated by solving different benchmark problems. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Archives of Computational Methods in Engineering Springer Journals

A Higher-Order Chimera Method for Finite Volume Schemes

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Publisher
Springer Journals
Copyright
Copyright © 2017 by CIMNE, Barcelona, Spain
Subject
Engineering; Mathematical and Computational Engineering
ISSN
1134-3060
eISSN
1886-1784
DOI
10.1007/s11831-017-9213-8
Publisher site
See Article on Publisher Site

Abstract

In this work a higher-order accurate finite volume method for the resolution of the Euler/Navier–Stokes equations using Chimera grid techniques is presented. The formulation is based on the use of Moving Least Squares approximations in order to obtain higher-order accurate reconstruction and connectivity between the overlapped grids. The accuracy and performance of the proposed methodology is demonstrated by solving different benchmark problems.

Journal

Archives of Computational Methods in Engineering – Springer Journals

Published: Feb 14, 2017

References

  • New high-resolution-preserving sliding mesh techniques for higher-order finite volume schemes
    Ramirez, L; Foulquié, C; Nogueira, X; Khelladi, S; Chassaing, JC; Colominas, I
  • A high order discontinuous Galerkin-Fourier incompressible 3d Navier-Stokes solver with rotating sliding meshes
    Ferrer, E; Willden, RHJ
  • Flow patterns around heart valves: a numerical method
    Peskin, CS
  • An immersed boundary method for unstructured meshes in depth averaged shallow water models
    Ouro, P; Cea, L; Ramirez, L; Nogueira, X
  • Combined immersed boundary/large-eddy-simulations of incompressible three dimensional complex flows
    Cristallo, A; Verzicco, R
  • DNS of buoyancy-dominated turbulent flows on a bluff body using the immersed boundary method
    Kang, C; Iaccarino, G; Ham, F
  • Euler calculations for multi-elements airfoils using Cartesian grids
    Clarke, D; Salas, M; Hassan, H
  • A Chimera Grid Scheme
    Steger, J; Dougherty, F; Benek, J
  • High-order interpolation method for overset grid based on finite volume method
    Lee, KR; Park, JH; Kim, KH
  • High-order compact finite-difference methods on general overset grids
    Sherer, SE; Scott, JN
  • An overset grid method for large eddy simulation of turbomachinery stages
    Wang, G; Duchaine, F; Papadogiannis, D; Duran, I; Moreau, S; Gicquel, LYM
  • Surfaces generated by moving least squares methods
    Lancaster, P; Salkauskas, K
  • Multiresolution reproducing kernel particle methods
    Liu, WK; Hao, W; Chen, Y; Jun, S; Gosz, J
  • On the accuracy of finite volume and discontinuous Galerkin discretizations for compressible flow on unstructured grids
    Nogueira, X; Cueto-Felgueroso, L; Colominas, I; Gómez, H; Navarrina, F; Casteleiro, M
  • High-resolution finite volume methods on unstructured grids for turbulence and aeroacoustics
    Nogueira, X; Khelladi, S; Colominas, I; Cueto-Felgueroso, L; París, J; Gómez, H
  • Finite volume solvers and moving least-squares approximations for the compressible Navier-Stokes equations on unstructured grids
    Cueto-Felgueroso, L; Colominas, I; Nogueira, X; Navarrina, F; Casteleiro, M
  • Toward a higher-order unsteady finite volume solver based on reproducing Kernel particle method
    Khelladi, S; Nogueira, X; Bakir, F; Colominas, I
  • On the simulation of wave propagation with a higher order finite volume scheme based on reproducing Kernel methods
    Nogueira, X; Cueto-Felgueroso, L; Colominas, I; Khelladi, S
  • A high-order density-based finite volume method for the computation of all-speed flows
    Nogueira, X; Ramirez, L; Khelladi, S; Chassaing, JC; Colominas, I
  • Accuracy assessment of a high-order moving least squares finite volume method for compressible flows
    Chassaing, JC; Khelladi, S; Nogueira, X
  • Smoothed particle hydrodynamics. A meshfree particle method
    Liu, GR; Liu, MB
  • Assessment and applications of point interpolation methods for computational mechanics
    Liu, GR; Gu, YT; Dai, KY
  • New concepts for moving least squares: an interpolation non-singular weighting function and weighted nodal least squares
    Most, T; Bucher, C
  • A discontinuous Galerkin Chimera scheme
    Galbraith, MC; Benek, JA; Orkwis, PD; Turner, MG
  • A new shock-capturing technique based on moving least squares for higher-order numerical schemes on unstructured grids
    Nogueira, X; Cueto-Felgueroso, L; Colominas, I; Navarrina, F; Casteleiro, M
  • A comparative study of computational methods in cosmic gas dynamics
    Albada, GD; Leer, B; Roberts, WW
  • Simulation of flows around an impulsively started circular cylinder by taylor series expansion- and least squares-based lattice boltzmann method
    Niu, XD; Chew, YT; Shu, C
  • Lattice boltzmann method on curvilinear coordinates system: flow around a circular cylinder
    He, X; Doolen, GD
  • A numerical simulation of vortex shedding from an oscillating circular cylinder
    Guilmineau, E; Queutey, P
  • An accurate moving boundary formulation in cut-cell methods
    Schneiders, L; Hartmann, D; Meinke, M; Schröder, W
  • An immersed boundary method with direct forcing for the simulation of particle flows
    Uhlmann, M
  • Application of local DFD method to simulate unsteady flows around an oscillating circular cylinder
    Wu, YL; Shu, C
  • A smoothing technique for discrete delta functions with application to immersed boundary method in moving boundary simulations
    Yang, X; Zhang, X; Li, Z; He, GW
  • An embedded-bounday formulation for large-eddy simulation of turbulent flows ointeracting with moving boundaries
    Yang, J; Balaras, E

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