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Volumn 222, Issue 2, 2007, Pages 592-623

3D transient fixed point mesh adaptation for time-dependent problems: Application to CFD simulations

Author keywords

Anisotropic metrics; CFD; Euler equations; Geometric error estimate; Mesh adaptation; Time dependent problems; Unit mesh

Indexed keywords

ANISOTROPY; ERRORS; EULER EQUATIONS; MESH GENERATION; NUMBER THEORY;

EID: 33847200449     PISSN: 00219991     EISSN: 10902716     Source Type: Journal    
DOI: 10.1016/j.jcp.2006.08.012     Document Type: Article
Times cited : (108)

References (31)
  • 1
    • 0000519476 scopus 로고
    • A new procedure for dynamic adaption of three-dimensional unstructured grids
    • Biswas R., and Strawn R. A new procedure for dynamic adaption of three-dimensional unstructured grids. Appl. Numer. Math. 13 (1994) 437-452
    • (1994) Appl. Numer. Math. , vol.13 , pp. 437-452
    • Biswas, R.1    Strawn, R.2
  • 2
    • 0027643216 scopus 로고
    • Adaptive refinement-coarsening scheme for three-dimensional unstructured meshes
    • Kallinderis Y., and Vijayan P. Adaptive refinement-coarsening scheme for three-dimensional unstructured meshes. AIAA J. 31 8 (1993) 1440-1447
    • (1993) AIAA J. , vol.31 , Issue.8 , pp. 1440-1447
    • Kallinderis, Y.1    Vijayan, P.2
  • 3
    • 85190570729 scopus 로고    scopus 로고
    • D. Mavriplis, Adaptive meshing techniques for viscous flow calculations on mixed-element unstructured meshes, AIAA paper 97-0857.
  • 4
    • 0000019519 scopus 로고
    • Adaptive remeshing for three-dimensional compressible flow computations
    • Peraire J., Peiro J., and Morgan K. Adaptive remeshing for three-dimensional compressible flow computations. J. Comput. Phys. 103 (1992) 269-285
    • (1992) J. Comput. Phys. , vol.103 , pp. 269-285
    • Peraire, J.1    Peiro, J.2    Morgan, K.3
  • 5
    • 24044543275 scopus 로고    scopus 로고
    • Anisotropic mesh adaptation for CFD computations
    • Frey P., and Alauzet F. Anisotropic mesh adaptation for CFD computations. Comput. Methods Appl. Mech. Eng. 194 48-49 (2005) 5068-5082
    • (2005) Comput. Methods Appl. Mech. Eng. , vol.194 , Issue.48-49 , pp. 5068-5082
    • Frey, P.1    Alauzet, F.2
  • 6
    • 24044505060 scopus 로고    scopus 로고
    • 3D tetrahedral, unstructured and anisotropic mesh generation with adaptation to natural and multidomain metric
    • Gruau C., and Coupez T. 3D tetrahedral, unstructured and anisotropic mesh generation with adaptation to natural and multidomain metric. Comput. Methods Appl. Mech. Eng. 194 48-49 (2005) 4951-4976
    • (2005) Comput. Methods Appl. Mech. Eng. , vol.194 , Issue.48-49 , pp. 4951-4976
    • Gruau, C.1    Coupez, T.2
  • 7
    • 10444224493 scopus 로고    scopus 로고
    • 3D anisotropic mesh adaptation by mesh modification
    • Li X., Shephard M., and Beall M. 3D anisotropic mesh adaptation by mesh modification. Comput. Methods Appl. Mech. Eng. 194 48-49 (2005) 4915-4950
    • (2005) Comput. Methods Appl. Mech. Eng. , vol.194 , Issue.48-49 , pp. 4915-4950
    • Li, X.1    Shephard, M.2    Beall, M.3
  • 9
    • 0026864302 scopus 로고
    • Spatial adaptation procedures on tetrahedral meshes for unsteady aerodynamic flow calculations
    • Rausch R., Batina J., and Yang H. Spatial adaptation procedures on tetrahedral meshes for unsteady aerodynamic flow calculations. AIAA J. 30 (1992) 1243-1251
    • (1992) AIAA J. , vol.30 , pp. 1243-1251
    • Rausch, R.1    Batina, J.2    Yang, H.3
  • 10
    • 0000912464 scopus 로고
    • Three-dimensional fluid-structure interaction using a finite element solver and adaptive remeshing
    • Löhner R. Three-dimensional fluid-structure interaction using a finite element solver and adaptive remeshing. Comput. Syst. Eng. 1 2-4 (1990) 257-272
    • (1990) Comput. Syst. Eng. , vol.1 , Issue.2-4 , pp. 257-272
    • Löhner, R.1
  • 11
    • 0026882588 scopus 로고
    • Adaptive h-refinement on 3D unstructured grids for transient problems
    • Löhner R., and Baum J. Adaptive h-refinement on 3D unstructured grids for transient problems. Int. J. Numer. Meth. Fluids 14 (1992) 1407-1419
    • (1992) Int. J. Numer. Meth. Fluids , vol.14 , pp. 1407-1419
    • Löhner, R.1    Baum, J.2
  • 12
    • 0031185471 scopus 로고    scopus 로고
    • A 3D unstructured mesh adaptation algorithm for time-dependent shock-dominated problems
    • Speares W., and Berzins M. A 3D unstructured mesh adaptation algorithm for time-dependent shock-dominated problems. Int. J. Numer. Meth. Fluids 25 (1997) 81-104
    • (1997) Int. J. Numer. Meth. Fluids , vol.25 , pp. 81-104
    • Speares, W.1    Berzins, M.2
  • 13
    • 0027628444 scopus 로고
    • Petrov-Galerkin solutions of the incompressible Navier-Stokes equations in primitive variables with adaptive remeshing
    • de Sampaio P., Lyra P., Morgan K., and Weatherill N. Petrov-Galerkin solutions of the incompressible Navier-Stokes equations in primitive variables with adaptive remeshing. Comput. Methods Appl. Mech. Eng. 106 (1993) 143-178
    • (1993) Comput. Methods Appl. Mech. Eng. , vol.106 , pp. 143-178
    • de Sampaio, P.1    Lyra, P.2    Morgan, K.3    Weatherill, N.4
  • 14
    • 0001491557 scopus 로고
    • Error estimation and adaptivity in Navier-Stokes incompressible flows
    • Wu J., Zhu J., Szmelter J., and Zienkiewicz O. Error estimation and adaptivity in Navier-Stokes incompressible flows. Comput. Mech. 6 (1990) 259-270
    • (1990) Comput. Mech. , vol.6 , pp. 259-270
    • Wu, J.1    Zhu, J.2    Szmelter, J.3    Zienkiewicz, O.4
  • 15
    • 0004540986 scopus 로고    scopus 로고
    • Tetrahedral mesh optimisation and adaptivity for steady-state and transient finite element calculations
    • Pain C., Humpleby A., de Oliveira C., and Goddard A. Tetrahedral mesh optimisation and adaptivity for steady-state and transient finite element calculations. Comput. Methods Appl. Mech. Eng. 190 (2001) 3771-3796
    • (2001) Comput. Methods Appl. Mech. Eng. , vol.190 , pp. 3771-3796
    • Pain, C.1    Humpleby, A.2    de Oliveira, C.3    Goddard, A.4
  • 16
    • 14344265344 scopus 로고    scopus 로고
    • Anisotropic adaptive simulation of transient flows using discontinuous Galerkin methods
    • Remacle J.-F., Li X., Shephard M., and Flaherty J. Anisotropic adaptive simulation of transient flows using discontinuous Galerkin methods. Int. J. Numer. Meth. Eng. 62 (2005) 899-923
    • (2005) Int. J. Numer. Meth. Eng. , vol.62 , pp. 899-923
    • Remacle, J.-F.1    Li, X.2    Shephard, M.3    Flaherty, J.4
  • 19
    • 0003793187 scopus 로고    scopus 로고
    • Mixed-element-volume MUSCL methods with weak viscosity for steady and unsteady flow calculations
    • Debiez C., and Dervieux A. Mixed-element-volume MUSCL methods with weak viscosity for steady and unsteady flow calculations. Comput. Fluids 29 (2000) 89-118
    • (2000) Comput. Fluids , vol.29 , pp. 89-118
    • Debiez, C.1    Dervieux, A.2
  • 20
    • 0031261331 scopus 로고    scopus 로고
    • On the choice of wavespeeds for the HLLC riemann solver
    • Batten P., Clarke N., Lambert C., and Causon D. On the choice of wavespeeds for the HLLC riemann solver. SIAM J. Sci. Comput. 18 6 (1997) 1553-1570
    • (1997) SIAM J. Sci. Comput. , vol.18 , Issue.6 , pp. 1553-1570
    • Batten, P.1    Clarke, N.2    Lambert, C.3    Causon, D.4
  • 21
    • 85190568543 scopus 로고    scopus 로고
    • P.-H. Cournède, C. Debiez, A. Dervieux, A positive MUSCL scheme for triangulations, Research Report INRIA, RR-3465, 1998.
  • 22
    • 0001118530 scopus 로고    scopus 로고
    • A new class of optimal high-order strong-stability-preserving time discretization methods
    • Spiteri R., and Ruuth S. A new class of optimal high-order strong-stability-preserving time discretization methods. SIAM J. Numer. Anal. 40 2 (2002) 469-491
    • (2002) SIAM J. Numer. Anal. , vol.40 , Issue.2 , pp. 469-491
    • Spiteri, R.1    Ruuth, S.2
  • 24
    • 85190572118 scopus 로고    scopus 로고
    • P. Frey, About surface remeshing, in: Proceedings of the 9th International Meshing Rountable, New Orleans, LO, USA, 2000, pp. 123-136.
  • 25
    • 85190568382 scopus 로고    scopus 로고
    • P.-L. George, Tet meshing: construction, optimization and adaptation, in: Proceedings of the 8th International Meshing Rountable, South Lake Tao, CA, USA, 1999.
  • 27
    • 0000876320 scopus 로고
    • On upstream differencing and Godunov-type schemes for hyperbolic conservation laws
    • Harten A., Lax P., and Leer B.V. On upstream differencing and Godunov-type schemes for hyperbolic conservation laws. SIAM Rev. 25 1 (1983) 35-61
    • (1983) SIAM Rev. , vol.25 , Issue.1 , pp. 35-61
    • Harten, A.1    Lax, P.2    Leer, B.V.3
  • 28
    • 45449125925 scopus 로고
    • Efficient implementation of essentially non-oscillatory shock-capturing schemes
    • Shu C., and Osher S. Efficient implementation of essentially non-oscillatory shock-capturing schemes. J. Comput. Phys. 77 (1988) 439-471
    • (1988) J. Comput. Phys. , vol.77 , pp. 439-471
    • Shu, C.1    Osher, S.2
  • 29
    • 2942705023 scopus 로고
    • A survey of several finite difference methods for systems of nonlinear hyperbolic conservation laws
    • Sod G. A survey of several finite difference methods for systems of nonlinear hyperbolic conservation laws. J. Comput. Phys. 27 (1978) 1-31
    • (1978) J. Comput. Phys. , vol.27 , pp. 1-31
    • Sod, G.1
  • 30
    • 0020778068 scopus 로고
    • An overview of Rayleigh-Taylor instability
    • Sharp D. An overview of Rayleigh-Taylor instability. Physica D 12 (1984) 3-18
    • (1984) Physica D , vol.12 , pp. 3-18
    • Sharp, D.1
  • 31
    • 0030194388 scopus 로고    scopus 로고
    • Numerical study for the three-dimensional Rayleigh-Taylor instability through the TVD/AC scheme and parallel computation
    • Li X., Jin B., and Glimm J. Numerical study for the three-dimensional Rayleigh-Taylor instability through the TVD/AC scheme and parallel computation. J. Comput. Phys. 126 (1996) 343-355
    • (1996) J. Comput. Phys. , vol.126 , pp. 343-355
    • Li, X.1    Jin, B.2    Glimm, J.3


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.