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Volumn 224, Issue 2, 2007, Pages 992-1020

High order residual distribution conservative finite difference WENO schemes for convection-diffusion steady state problems on non-smooth meshes

Author keywords

Convection diffusion equations; Fluctuation splitting; High order accuracy; Residual distribution; Steady state; WENO integration

Indexed keywords

COMPUTATION THEORY; DIFFUSION IN LIQUIDS; FINITE DIFFERENCE METHOD; HEAT CONVECTION; INTEGRATION; PARTIAL DIFFERENTIAL EQUATIONS;

EID: 34248631977     PISSN: 00219991     EISSN: 10902716     Source Type: Journal    
DOI: 10.1016/j.jcp.2006.11.006     Document Type: Article
Times cited : (41)

References (26)
  • 1
    • 0000668444 scopus 로고    scopus 로고
    • Toward the ultimate conservative scheme: following the quest
    • Abgrall R. Toward the ultimate conservative scheme: following the quest. Journal of Computational Physics 167 (2001) 277-315
    • (2001) Journal of Computational Physics , vol.167 , pp. 277-315
    • Abgrall, R.1
  • 2
    • 33644932939 scopus 로고    scopus 로고
    • Essentially non oscillatory residual distribution schemes for hyperbolic problems
    • Abgrall R. Essentially non oscillatory residual distribution schemes for hyperbolic problems. Journal of Computational Physics 214 (2006) 773-808
    • (2006) Journal of Computational Physics , vol.214 , pp. 773-808
    • Abgrall, R.1
  • 3
    • 0038070198 scopus 로고    scopus 로고
    • Residual distribution schemes for conservation laws via adaptive quadrature
    • Abgrall R., and Barth T. Residual distribution schemes for conservation laws via adaptive quadrature. SIAM Journal of Scientific Computing 24 (2002) 732-769
    • (2002) SIAM Journal of Scientific Computing , vol.24 , pp. 732-769
    • Abgrall, R.1    Barth, T.2
  • 5
    • 1842733453 scopus 로고    scopus 로고
    • Construction of second order accurate monotone and stable residual distribution schemes for steady problems
    • Abgrall R., and Mezine M. Construction of second order accurate monotone and stable residual distribution schemes for steady problems. Journal of Computational Physics 195 (2004) 474-507
    • (2004) Journal of Computational Physics , vol.195 , pp. 474-507
    • Abgrall, R.1    Mezine, M.2
  • 6
    • 0346009127 scopus 로고    scopus 로고
    • High order fluctuation scheme on triangular meshes
    • Abgrall R., and Roe P.L. High order fluctuation scheme on triangular meshes. Journal of Scientific Computing 19 (2003) 3-36
    • (2003) Journal of Scientific Computing , vol.19 , pp. 3-36
    • Abgrall, R.1    Roe, P.L.2
  • 7
    • 23044533362 scopus 로고    scopus 로고
    • Compact third-order multidimensional upwind scheme for Navier-Stokes simulations
    • Caraeni D., and Fuchs L. Compact third-order multidimensional upwind scheme for Navier-Stokes simulations. Theoretical and Computational Fluid Dynamics 15 (2002) 373-401
    • (2002) Theoretical and Computational Fluid Dynamics , vol.15 , pp. 373-401
    • Caraeni, D.1    Fuchs, L.2
  • 8
    • 33644937428 scopus 로고    scopus 로고
    • High order residual distribution conservative finite difference WENO schemes for steady state problems on non-smooth meshes
    • Chou C.-S., and Shu High order residual distribution conservative finite difference WENO schemes for steady state problems on non-smooth meshes C.-W. Journal of Computational Physics 214 (2006) 698-724
    • (2006) Journal of Computational Physics , vol.214 , pp. 698-724
    • Chou, C.-S.1    Shu, C.-W.2
  • 9
    • 85190135120 scopus 로고    scopus 로고
    • H. Deconinck, R. Struijs, G. Bourgeois, P. Roe, Compact advection schemes on unstructured meshes, Computational Fluid Dynamics (1993), VKI Lecture Series 1993-04.
  • 10
    • 40749159424 scopus 로고
    • High resolution schemes for hyperbolic conservation laws
    • Harten A. High resolution schemes for hyperbolic conservation laws. Journal of Computational Physics 49 (1983) 357-393
    • (1983) Journal of Computational Physics , vol.49 , pp. 357-393
    • Harten, A.1
  • 11
    • 0000057046 scopus 로고
    • Energy models for one-carrier transport in semiconductor devices
    • Coughran W., Cole J., Lloyd P., and White J. (Eds), Springer-Verlag, Berlin
    • Jerome J., and Shu C.-W. Energy models for one-carrier transport in semiconductor devices. In: Coughran W., Cole J., Lloyd P., and White J. (Eds). IMA Volumes in Mathematics and Its Applications vol. 59 (1994), Springer-Verlag, Berlin 185-207
    • (1994) IMA Volumes in Mathematics and Its Applications , vol.59 , pp. 185-207
    • Jerome, J.1    Shu, C.-W.2
  • 12
    • 0030161771 scopus 로고    scopus 로고
    • Efficient implementation of weighted ENO schemes
    • Jiang G., and Shu C.-W. Efficient implementation of weighted ENO schemes. Journal of Computational Physics 126 (1996) 202-228
    • (1996) Journal of Computational Physics , vol.126 , pp. 202-228
    • Jiang, G.1    Shu, C.-W.2
  • 13
    • 0012423296 scopus 로고    scopus 로고
    • A residual-based compact scheme for the compressible Navier-Stokes equations
    • Lerat A., and Corre C. A residual-based compact scheme for the compressible Navier-Stokes equations. Journal of Computational Physics 170 (2001) 642-675
    • (2001) Journal of Computational Physics , vol.170 , pp. 642-675
    • Lerat, A.1    Corre, C.2
  • 14
    • 85190110528 scopus 로고    scopus 로고
    • F. Marpeau, R. Abgrall, Residual distribution schemes on quadrilateral meshes, Journal of Scientific Computing. Published online with DOI: 10.1007/s10915-005-9023-2.
  • 15
    • 85190111694 scopus 로고    scopus 로고
    • H. Nishikawa, Higher order discretization of diffusion terms in residual distribution methods, Computational Fluid Dynamics (2005), VKI Lecture Series 2005-01.
  • 16
    • 85190104332 scopus 로고    scopus 로고
    • H. Nishikawa, P.L. Roe, On high order fluctuation splitting schemes for Navier-Stokes equations, in: Third International Conference on Computational Fluid Dynamics, Toronto, CA, 2004.
  • 18
    • 85190099191 scopus 로고    scopus 로고
    • M. Ricchiuto, N. Villedieu, R. Abgrall, H. Deconinck, Higher order residual distribution schemes: discontinuity capturing crosswind dissipation and extension to advection-diffusion, Computational Fluid Dynamics (2005), VKI Lecture Series 2005-01.
  • 19
    • 2942757053 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 43 (1981) 357-372
    • (1981) Journal of Computational Physics , vol.43 , pp. 357-372
    • Roe, P.L.1
  • 20
    • 0026965646 scopus 로고
    • Optimum positive linear schemes for advection in two or three dimensions
    • Roe P.L., and Sidilkover D. Optimum positive linear schemes for advection in two or three dimensions. SIAM Journal of Numerical Analysis 29 (1992) 1542-1588
    • (1992) SIAM Journal of Numerical Analysis , vol.29 , pp. 1542-1588
    • Roe, P.L.1    Sidilkover, D.2
  • 21
    • 45449125925 scopus 로고
    • Efficient implementation of essentially non-oscillatory shock-capturing schemes
    • Shu C.-W., and Osher S. Efficient implementation of essentially non-oscillatory shock-capturing schemes. Journal of Computational Physics 77 (1988) 439-471
    • (1988) Journal of Computational Physics , vol.77 , pp. 439-471
    • Shu, C.-W.1    Osher, S.2
  • 22
    • 85190093508 scopus 로고    scopus 로고
    • R. Struijs, H. Deconinck, P.L. Roe, Fluctuation splitting schemes for the 2D Euler equations, Computational Fluid Dynamics (1991), VKI Lecture Series 1991-01.
  • 23
    • 33644944558 scopus 로고
    • Fluctuation splitting schemes for the Euler equations on quadrilateral grids
    • Oxford University Press, Oxford, UK
    • van der Weide E., and Deconinck H. Fluctuation splitting schemes for the Euler equations on quadrilateral grids. Numerical Methods for Fluid Dynamics V (1995), Oxford University Press, Oxford, UK 623-630
    • (1995) Numerical Methods for Fluid Dynamics V , pp. 623-630
    • van der Weide, E.1    Deconinck, H.2
  • 24
    • 0038347986 scopus 로고    scopus 로고
    • Positive matrix distribution schemes for hyperbolic systems
    • Dèsidèri, Hirch C., Le Tallec P., Pandolfi M., and Pèriaux J. (Eds), Wiley, New York
    • van der Weide E., and Deconinck H. Positive matrix distribution schemes for hyperbolic systems. In: Dèsidèri, Hirch C., Le Tallec P., Pandolfi M., and Pèriaux J. (Eds). Computational Fluid Dynamics (1996), Wiley, New York 747-753
    • (1996) Computational Fluid Dynamics , pp. 747-753
    • van der Weide, E.1    Deconinck, H.2
  • 25
    • 0032641436 scopus 로고    scopus 로고
    • A parallel, implicit, multi-dimensional upwind, residual distribution method for the Navier-Stokes equations on unstructured grids
    • van der Weide E., Deconinck H., and Degrez G. A parallel, implicit, multi-dimensional upwind, residual distribution method for the Navier-Stokes equations on unstructured grids. Computational Mechanics 23 (1999) 199-208
    • (1999) Computational Mechanics , vol.23 , pp. 199-208
    • van der Weide, E.1    Deconinck, H.2    Degrez, G.3
  • 26
    • 17144431379 scopus 로고    scopus 로고
    • Anti-diffusive flux corrections for high order finite difference WENO schemes
    • Xu Z., and Shu C.-W. Anti-diffusive flux corrections for high order finite difference WENO schemes. Journal of Computational Physics 205 (2005) 458-485
    • (2005) Journal of Computational Physics , vol.205 , pp. 458-485
    • Xu, Z.1    Shu, C.-W.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.