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Volumn 13, Issue 2, 2013, Pages 461-478

A h-adaptive algorithm using residual error estimates for fluid flows

Author keywords

Adaptive refinement; Error estimator; Error indicator; Residual

Indexed keywords


EID: 84866251988     PISSN: 18152406     EISSN: 19917120     Source Type: Journal    
DOI: 10.4208/cicp.170811.210212a     Document Type: Article
Times cited : (6)

References (38)
  • 1
    • 48749141209 scopus 로고
    • Adaptive mesh refinement for hyperbolic partial differential equations
    • Berger, M.J., Oliger. J., Adaptive mesh refinement for hyperbolic partial differential equations, Journal of Computational Physics, Vol. 53, pp. 484-512, 1984.
    • (1984) Journal of Computational Physics , vol.53 , pp. 484-512
    • Berger, M.J.1    Oliger, J.2
  • 2
    • 0024301258 scopus 로고
    • Adaptation methods for a new Navier-Stokes algorithm
    • Kallinderis, Y.G., and Baron, R.J., Adaptation methods for a new Navier-Stokes algorithm, AIAA Journal, Vol. 27(1), pp. 37-43, 1989.
    • (1989) AIAA Journal , vol.27 , Issue.1 , pp. 37-43
    • Kallinderis, Y.G.1    Baron, R.J.2
  • 3
    • 13544275653 scopus 로고    scopus 로고
    • A parallelized adaptive algorithm formultiphase flows in general geometries
    • Sussman,M., A parallelized adaptive algorithm formultiphase flows in general geometries, Computers and Structures, Vol. 83(6), pp. 435-444, 2005.
    • (2005) Computers and Structures , vol.83 , Issue.6 , pp. 435-444
    • Sussman, M.1
  • 4
    • 84897988044 scopus 로고    scopus 로고
    • Achieving extreme resolution in numerical cosmology using adaptive mesh refinement: Resolving primordial star formation
    • ACM/IEEE SC Conference
    • Bryan, G., Abel, T., and Norman, L.M., Achieving extreme resolution in numerical cosmology using adaptive mesh refinement: Resolving primordial star formation, Book of Abstracts, p. 13, ACM/IEEE SC 2001 Conference, 2001.
    • (2001) Book of Abstracts , vol.2001 , pp. 13
    • Bryan, G.1    Abel, T.2    Norman, L.M.3
  • 5
    • 3142644427 scopus 로고
    • Euler calculations of axisymmetric under-expanded jets by an adaptive-refinementmethod
    • De Zeeuw, D., Powell, K. G., Euler calculations of axisymmetric under-expanded jets by an adaptive-refinementmethod, AIAA Paper 92-0321, 1992.
    • (1992) AIAA Paper 92-0321
    • De Zeeuw, D.1    Powell, K.G.2
  • 6
    • 0023331554 scopus 로고
    • An adaptive finite element scheme for transient problems in CFD
    • North Holland
    • Lohner, R., An adaptive finite element scheme for transient problems in CFD, ComputationalMethods in AppliedMechanics and Engineering, North Holland, Vol. 61, pp. 323-338, 1987.
    • (1987) ComputationalMethods in AppliedMechanics and Engineering , vol.61 , pp. 323-338
    • Lohner, R.1
  • 7
    • 0001091839 scopus 로고    scopus 로고
    • Conservative smoothing on adaptive quadrilateral grid
    • Sun, M., Takayama., K., Conservative smoothing on adaptive quadrilateral grid, Journal of Computational Physics, Vol. 150, pp. 143-180, 1996.
    • (1996) Journal of Computational Physics , vol.150 , pp. 143-180
    • Sun, M.1    Takayama, K.2
  • 8
    • 0037408947 scopus 로고    scopus 로고
    • Time-accurate Navier-Stokes simulation of vortex convection using an unstructured dynamic mesh procedure
    • Oh, W.S., Kim, J.S., and Kwon, O.J., Time-accurate Navier-Stokes simulation of vortex convection using an unstructured dynamic mesh procedure, Computers and Fluids, Vol. 32, pp. 727-749, 2003.
    • (2003) Computers and Fluids , vol.32 , pp. 727-749
    • Oh, W.S.1    Kim, J.S.2    Kwon, O.J.3
  • 11
    • 0042255750 scopus 로고
    • A unified approach to aposteriori error estimation using element residual methods
    • Ainsworth, M., Oden, J.T., A unified approach to aposteriori error estimation using element residual methods, Numerische Mathematik, Vol. 65, pp. 23-50, 1993.
    • (1993) Numerische Mathematik , vol.65 , pp. 23-50
    • Ainsworth, M.1    Oden, J.T.2
  • 13
    • 85087603641 scopus 로고    scopus 로고
    • Multi-Level Error estimation and h-refinement for cartesian meshes with embedded boundaries
    • Aftosmis, M.J., Berger, M.J., Multi-Level Error estimation and h-refinement for cartesian meshes with embedded boundaries, AIAA Paper 2002-0863, 2002.
    • (2002) AIAA Paper 2002-0863
    • Aftosmis, M.J.1    Berger, M.J.2
  • 14
    • 34447094732 scopus 로고    scopus 로고
    • Adaptive finite-volume solution of complex turbulent flows
    • Hay, A., Visonneau, M., Adaptive finite-volume solution of complex turbulent flows, Computers and Fluids, Vol. 36(8), pp. 1347-1363, 2007.
    • (2007) Computers and Fluids , vol.36 , Issue.8 , pp. 1347-1363
    • Hay, A.1    Visonneau, M.2
  • 15
    • 14544284969 scopus 로고    scopus 로고
    • Local error analysis for approximate solutions of hyperbolic conservation laws
    • Karni, S., Kurganov, A., Local error analysis for approximate solutions of hyperbolic conservation laws, Advances in Computational Mathematics, Vol. 178, pp. 79-99, 2005.
    • (2005) Advances in Computational Mathematics , vol.178 , pp. 79-99
    • Karni, S.1    Kurganov, A.2
  • 16
    • 58249129421 scopus 로고    scopus 로고
    • On the generation of exact solutions for evaluating numerical schemes and estimating discretization error
    • Roy, C., Sinclair, M., On the generation of exact solutions for evaluating numerical schemes and estimating discretization error, Journal of Computational Physics, Vol. 228(5), pp. 1790-1802, 2009.
    • (2009) Journal of Computational Physics , vol.228 , Issue.5 , pp. 1790-1802
    • Roy, C.1    Sinclair, M.2
  • 17
    • 67650251288 scopus 로고    scopus 로고
    • R-parameter: A local truncation error based adaptive framework for finite volume compressible flow solvers
    • Ganesh,N., Shende,N.V., and Balakrishnan,N., R-parameter: A local truncation error based adaptive framework for finite volume compressible flow solvers, Computers & Fluids, Vol. 38(9), pp. 1799-1822, 2009.
    • (2009) Computers & Fluids , vol.38 , Issue.9 , pp. 1799-1822
    • Ganesh, N.1    Shende, N.V.2    Balakrishnan, N.3
  • 20
    • 85087600994 scopus 로고    scopus 로고
    • Residual adaptive computations of complex turbulent flows
    • Springer
    • Ganesh, N., Balakrishnan, N., Residual adaptive computations of complex turbulent flows, Computational Fluid Dynamics, Springer, 2008.
    • (2008) Computational Fluid Dynamics
    • Ganesh, N.1    Balakrishnan, N.2
  • 21
    • 0012277235 scopus 로고    scopus 로고
    • A High-Resolution procedure for Euler and Navier-Stokes computations on unstructured grids
    • Jawahar, P., Kamath, H., A High-Resolution procedure for Euler and Navier-Stokes computations on unstructured grids, Journal Of Computational Physics, Vol. 164, pp. 165-203, 2000.
    • (2000) Journal Of Computational Physics , vol.164 , pp. 165-203
    • Jawahar, P.1    Kamath, H.2
  • 22
    • 4944246158 scopus 로고    scopus 로고
    • New migratory memory algorithm for implicit finite volume solvers
    • Shende, N., Balakrishnan, N., New migratory memory algorithm for implicit finite volume solvers, AIAA Journal, Vol. 42(9), pp. 1863-1870, 2004.
    • (2004) AIAA Journal , vol.42 , Issue.9 , pp. 1863-1870
    • Shende, N.1    Balakrishnan, N.2
  • 23
    • 0001006231 scopus 로고
    • Approximate Riemann solvers, parameter vectors and difference schemes
    • Roe, P.L., Approximate Riemann solvers, parameter vectors and difference schemes, Journal of Computational Physics, Vol. 104, pp. 56-58, 1983.
    • (1983) Journal of Computational Physics , vol.104 , pp. 56-58
    • Roe, P.L.1
  • 25
    • 84866247147 scopus 로고    scopus 로고
    • On viscous flux discretization procedures for cell center finite volume schemes
    • Report No. 2004 FM 04, Department of Aerospace Engineering, Indian Institute of Science, Bangalore, India
    • Munikrishna, N., Balakrishnan, N., On viscous flux discretization procedures for cell center finite volume schemes, Fluid Mechanics Report No. 2004 FM 04, Department of Aerospace Engineering, Indian Institute of Science, Bangalore, India, 2004.
    • (2004) Fluid Mechanics
    • Munikrishna, N.1    Balakrishnan, N.2
  • 26
    • 0346297565 scopus 로고
    • Solution of the 2D Navier-Stokes equations on unstructured adaptive grids
    • Holmes, D.G., Connel, S.D., Solution of the 2D Navier-Stokes equations on unstructured adaptive grids, AIAA Paper 89-1932-CP, 1989.
    • (1989) AIAA Paper 89-1932-CP
    • Holmes, D.G.1    Connel, S.D.2
  • 27
    • 4944224129 scopus 로고
    • Reconstruction on unstructured meshes with upwind solvers
    • W.H. Hui, Y.K. Kwok and J.R. Chasnov (eds.), Department of Mathematics, The Hong Kong University of Science & Technology, Hong Kong
    • Balakrishnan, N., Deshpande, S.M., Reconstruction on unstructured meshes with upwind solvers, Proceedings of the First Asian CFD conference, Vol. 1, W.H. Hui, Y.K. Kwok and J.R. Chasnov (eds.), Department of Mathematics, The Hong Kong University of Science & Technology, Hong Kong, pp. 359-364, 1995.
    • (1995) Proceedings of the First Asian CFD Conference , vol.1 , pp. 359-364
    • Balakrishnan, N.1    Deshpande, S.M.2
  • 28
    • 4944265987 scopus 로고
    • A 3-D Least-squares upwind Euler solver for unstructured meshes
    • Lecture Notes in Physics, 414,M. Napolitano and F. Sabetta (eds.), Springer-Verlag, Berlin
    • Barth, T.J., A 3-D Least-squares upwind Euler solver for unstructured meshes, Proceedings of 13th International Conference on Numerical Methods in Fluid Dynamics, Lecture Notes in Physics, 414,M. Napolitano and F. Sabetta (eds.), Springer-Verlag, Berlin, p. 240, 1992.
    • (1992) Proceedings of 13th International Conference on Numerical Methods in Fluid Dynamics , pp. 240
    • Barth, T.J.1
  • 29
    • 0040075637 scopus 로고
    • Convergence to steady state solutions of the euler equations on unstructured gridswith limiters
    • Venkatakrishnan, V., Convergence to steady state solutions of the euler equations on unstructured gridswith limiters, Journal of Computational Physics, Vol. 118, pp. 120-130, 1995.
    • (1995) Journal of Computational Physics , vol.118 , pp. 120-130
    • Venkatakrishnan, V.1
  • 32
    • 4944219915 scopus 로고    scopus 로고
    • An embedded grid adaptation strategy for unstructured data based finite volume computations
    • Springer
    • Shende, N., Garg, U., Karthikeyan, D., and Balakrishnan,N., An embedded grid adaptation strategy for unstructured data based finite volume computations, Computational Fluid Dynamics, Springer, 2002.
    • (2002) Computational Fluid Dynamics
    • Shende, N.1    Garg, U.2    Karthikeyan, D.3    Balakrishnan, N.4
  • 34
    • 36348973074 scopus 로고    scopus 로고
    • Cartesian like grids using a novel grid stitching algorithm for viscous flow computations
    • Mondal, P., Munikrishna, N., and Balakrishnan, N., Cartesian like grids using a novel grid stitching algorithm for viscous flow computations, Journal of Aircraft, Vol. 44(5), pp. 1598-1609, 2007.
    • (2007) Journal of Aircraft , vol.44 , Issue.5 , pp. 1598-1609
    • Mondal, P.1    Munikrishna, N.2    Balakrishnan, N.3
  • 35
    • 0025248948 scopus 로고
    • Computations using a direct solver
    • Venkatakrishnan, V., Computations using a direct solver, Computers and Fluids, Vol. 18(2), pp. 191-204, 1990.
    • (1990) Computers and Fluids , vol.18 , Issue.2 , pp. 191-204
    • Venkatakrishnan, V.1
  • 36
    • 0029208527 scopus 로고
    • Directional viscous multigrid using adaptive prismatic meshes
    • Parthasarathy, V., Kallinderis., Y., Directional viscous multigrid using adaptive prismatic meshes, AIAA Journal, Vol. 33(1), pp. 69-78, 1995.
    • (1995) AIAA Journal , vol.33 , Issue.1 , pp. 69-78
    • Parthasarathy, V.1    Kallinderis, Y.2
  • 37
    • 84866250278 scopus 로고
    • Numerical analysis of the scramjet-inlet flow field by using two-dimensional Navier-Stokes equations
    • Kumar, A., Numerical analysis of the scramjet-inlet flow field by using two-dimensional Navier-Stokes equations, NASA Technical paper 1940, 1981.
    • (1940) NASA Technical paper , vol.1981
    • Kumar, A.1
  • 38
    • 85087606101 scopus 로고    scopus 로고
    • Parallel implicit adaptive mesh refinement scheme for bodyfitted multi-block mesh
    • Groth, C.P.T., Northrup, S.A., Parallel implicit adaptive mesh refinement scheme for bodyfitted multi-block mesh, AIAA Paper 2005-5333, 2005.
    • (2005) AIAA Paper 2005-5333
    • Groth, C.P.T.1    Northrup, S.A.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.