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References (38)
-
Guirong Liu, Yuantong Gu, K. Dai (2004)
Assessment and applications of point interpolation methods for computational mechanicsInternational Journal for Numerical Methods in Engineering, 59
-
Luis Landeira, I. Colominas, F. Navarrina, M. Casteleiro (2007)
Finite volume solvers and movingleast-squares approximations for thecompressible Navier-Stokes equations onunstructured grids -
E. Guilmineau, P. Queutey (2002)
A NUMERICAL SIMULATION OF VORTEX SHEDDING FROM AN OSCILLATING CIRCULAR CYLINDERJournal of Fluids and Structures, 16
-
D. Clarke, H. Hassan, M. Salas (1986)
Euler calculations for multielement airfoils using Cartesian gridsAIAA Journal, 24
-
Gaofeng Wang, F. Duchaine, D. Papadogiannis, I. Duran, S. Moreau, L. Gicquel (2014)
An overset grid method for large eddy simulation of turbomachinery stagesJ. Comput. Phys., 274
-
W. Liu, W. Hao, Y. Chen, S. Jun, J. Gosz (1997)
Multiresolution reproducing kernel particle methodsComputational Mechanics, 20
-
M. Galbraith, J. Benek, P. Orkwis, M. Turner (2014)
A Discontinuous Galerkin Chimera schemeComputers & Fluids, 98
-
Guirong Liu, Moubin Liu (2003)
Smoothed Particle Hydrodynamics: A Meshfree Particle Method -
G. Chiocchia (1984)
Chapter 4: Exact solutions to transonic and supersonic flows -
Xiaolei Yang, Xing Zhang, Zhilin Li, Guo-Wei He (2009)
A smoothing technique for discrete delta functions with application to immersed boundary method in moving boundary simulationsJ. Comput. Phys., 228
-
(2005)
An embedded-bounday formulation for large-eddy simulation of turbulent flows ointeracting with mov- ing boundaries -
X. Nogueira, L. Ramírez, S. Khelladi, J. Chassaing, I. Colominas (2016)
A high-order density-based finite volume method for the computation of all-speed flowsComputer Methods in Applied Mechanics and Engineering, 298
-
(1997)
Lattice boltzmann method on curvilin- ear coordinates system: flow around a circular cylinder -
Y. Wu, Chi-Wang Shu (2008)
Application of local DFD method to simulate unsteady flows around an oscillating circular cylinderInternational Journal for Numerical Methods in Fluids, 58
-
(2011)
Toward a higher-order unsteady finite volume solver based on reproduc- ing Kernel particle method -
L. Schneiders, D. Hartmann, M. Meinke, W. Schröder (2013)
An accurate moving boundary formulation in cut-cell methodsJ. Comput. Phys., 235
-
C. Peskin (1972)
Flow patterns around heart valves: A numerical methodJournal of Computational Physics, 10
-
(1999)
A point interpolation method -
L. Ramírez, Charles Foulquié, X. Nogueira, S. Khelladi, J. Chassaing, I. Colominas (2015)
New high-resolution-preserving sliding mesh techniques for higher-order finite volume schemesComputers & Fluids, 118
-
E. Ferrer, R. Willden (2012)
A high order Discontinuous Galerkin - Fourier incompressible 3D Navier-Stokes solver with rotating sliding meshesJ. Comput. Phys., 231
-
X. Nogueira, S. Khelladi, I. Colominas, L. Cueto‐Felgueroso, J. París, H. Gómez (2011)
High-Resolution Finite Volume Methods on Unstructured Grids for Turbulence and AeroacousticsArchives of Computational Methods in Engineering, 18
-
J. Delfs (2001)
An overlapped grid technique for high resolution CAA schemes for complex geometries -
(2005)
An immersed boundary method with direct forcing for the simulation of particle flows -
P. Ouro, L. Cea, L. Ramírez, X. Nogueira (2016)
An immersed boundary method for unstructured meshes in depth averaged shallow water modelsInternational Journal for Numerical Methods in Fluids, 81
-
J. Chassaing, S. Khelladi, X. Nogueira (2013)
Accuracy assessment of a high-order moving least squares finite volume method for compressible flowsComputers & Fluids, 71
-
S. Sherer, James Scott (2005)
High-order compact finite-difference methods on general overset gridsJournal of Computational Physics, 210
-
P. Lancaster, K. Salkauskas (1981)
Surfaces generated by moving least squares methodsMathematics of Computation, 37
-
X. Nogueira, I. Colominas, L. Cueto‐Felgueroso, S. Khelladi (2010)
On the simulation of wave propagation with a higher-order finite volume scheme based on Reproducing Kernel MethodsComputer Methods in Applied Mechanics and Engineering, 199
-
E. Laitone (1957)
Elements of Gasdynamics.Journal of the American Chemical Society, 79
-
X. Nogueira, L. Cueto‐Felgueroso, I. Colominas, F. Navarrina, M. Casteleiro (2010)
A new shock-capturing technique based on Moving Least Squares for higher-order numerical schemes on unstructured gridsComputer Methods in Applied Mechanics and Engineering, 199
-
T. Most, C. Bucher (2008)
New concepts for moving least squares: An interpolating non-singular weighting function and weighted nodal least squaresEngineering Analysis With Boundary Elements, 32
-
X. Niu, Y. Chew, C. Shu (2003)
Simulation of flows around an impulsively started circular cylinder by Taylor series expansion-and least squares-based lattice Boltzmann methodJournal of Computational Physics, 188
-
A. Cristallo, R. Verzicco (2006)
Combined Immersed Boundary/Large-Eddy-Simulations of Incompressible Three Dimensional Complex FlowsFlow, Turbulence and Combustion, 77
-
X. Nogueira, L. Cueto‐Felgueroso, I. Colominas, H. Gómez, F. Navarrina, M. Casteleiro (2009)
On the accuracy of finite volume and discontinuous Galerkin discretizations for compressible flow on unstructured gridsInternational Journal for Numerical Methods in Engineering, 78
-
G. Albada, B. Leer, W. Roberts (1982)
A comparative study of computational methods in cosmic gas dynamicsAstronomy and Astrophysics, 108
-
(2009)
DNS of buoyancy-domi- nated turbulent flows on a bluff body using the immersed bound- ary method -
Kyung Lee, Jungmin Park, Kyu Kim (2011)
High-Order Interpolation Method for Overset Grid Based on Finite Volume MethodAIAA Journal, 49
-
J. Benek, J. Steger, F. Dougherty (2011)
A chimera grid scheme
- 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