메뉴 건너뛰기




Volumn 58, Issue 5, 2008, Pages 493-526

Low-cost implicit schemes for all-speed flows on unstructured meshes

Author keywords

All speed flows; Compressible flow; Euler flows; Finite volume methods; Low Mach preconditioning; Matrix free implicit treatment; Navier Stokes; Viscous flows

Indexed keywords

COMPRESSIBLE FLOW; FLUID DYNAMICS; INCOMPRESSIBLE FLOW; NAVIER STOKES EQUATIONS; SPEED; VISCOSITY; VISCOUS FLOW; WET ETCHING;

EID: 57849101084     PISSN: 02712091     EISSN: 10970363     Source Type: Journal    
DOI: 10.1002/fld.1730     Document Type: Article
Times cited : (12)

References (36)
  • 1
    • 57849148452 scopus 로고    scopus 로고
    • Riggins D, Walters R, Pelletier D. The use of direct solvers for compressible flow computations. AIAA Paper 1988; 88-0229.
    • Riggins D, Walters R, Pelletier D. The use of direct solvers for compressible flow computations. AIAA Paper 1988; 88-0229.
  • 2
    • 0027552619 scopus 로고
    • Analysis of implicit treatments for a centred Euler solver
    • Khalfallah K, Lacombe G, Lerat A. Analysis of implicit treatments for a centred Euler solver. Computers and Fluids 1993; 22:381-406.
    • (1993) Computers and Fluids , vol.22 , pp. 381-406
    • Khalfallah, K.1    Lacombe, G.2    Lerat, A.3
  • 3
    • 33845433151 scopus 로고
    • A diagonal form of an implicit approximate-factorization algorithm
    • Pulliam T, Chaussee D. A diagonal form of an implicit approximate-factorization algorithm. Journal of Computational Physics 1981; 39:347-363.
    • (1981) Journal of Computational Physics , vol.39 , pp. 347-363
    • Pulliam, T.1    Chaussee, D.2
  • 4
    • 0010916641 scopus 로고    scopus 로고
    • A preconditioned dual-time, diagonalized ADI scheme for unsteady computations
    • AIAA Paper 1997;
    • Buelow P, Schwer D, Feng J, Merkle C. A preconditioned dual-time, diagonalized ADI scheme for unsteady computations. AIAA Paper 1997; 97-2101.
    • Buelow, P.1    Schwer, D.2    Feng, J.3    Merkle, C.4
  • 5
    • 0035449417 scopus 로고    scopus 로고
    • Stability and convergence analysis of implicit upwind schemes
    • Buelow P, Venkateswaran S, Merkle C. Stability and convergence analysis of implicit upwind schemes. Computers and Fluids 2001; 30:961-988.
    • (2001) Computers and Fluids , vol.30 , pp. 961-988
    • Buelow, P.1    Venkateswaran, S.2    Merkle, C.3
  • 6
    • 0035449921 scopus 로고    scopus 로고
    • Implicit multigrid computation of unsteady flows past cylinders of square cross-section
    • Caughey D. Implicit multigrid computation of unsteady flows past cylinders of square cross-section. Computers and Fluids 2001; 30:939-960.
    • (2001) Computers and Fluids , vol.30 , pp. 939-960
    • Caughey, D.1
  • 7
    • 85088758102 scopus 로고    scopus 로고
    • Pandya S, Venkateswaran S, Pulliam T. Implementation of preconditioned dual-time procedures in OVERFLOW. AIAA Paper, 2003; 2003-0072.
    • Pandya S, Venkateswaran S, Pulliam T. Implementation of preconditioned dual-time procedures in OVERFLOW. AIAA Paper, 2003; 2003-0072.
  • 8
    • 0020236248 scopus 로고
    • An Implicit Finite-volume Method for Solving the Euler Equations
    • Springer: Berlin
    • Lerat A, Sides J, Daru V. An Implicit Finite-volume Method for Solving the Euler Equations. Lecture Notes in Physics, vol. 17. Springer: Berlin, 1982; 343-349.
    • (1982) Lecture Notes in Physics , vol.17 , pp. 343-349
    • Lerat, A.1    Sides, J.2    Daru, V.3
  • 9
    • 0039639562 scopus 로고    scopus 로고
    • Solution of the Euler equations for complex configurations
    • AIAA Paper, 1983;
    • Jameson A, Baker T. Solution of the Euler equations for complex configurations. AIAA Paper, 1983; 83-1929.
    • Jameson, A.1    Baker, T.2
  • 10
    • 0003655741 scopus 로고    scopus 로고
    • Numerical solutions of the Euler equations by finite volume methods using Runge-Kutta time-stepping schemes
    • AIAA Paper, 1981;
    • Jameson A, Schmidt W, Turkel E. Numerical solutions of the Euler equations by finite volume methods using Runge-Kutta time-stepping schemes. AIAA Paper, 1981; 81-1259.
    • Jameson, A.1    Schmidt, W.2    Turkel, E.3
  • 12
    • 0023378605 scopus 로고
    • Lower-upper implicit schemes with multiple grids for the Euler equations
    • Jameson A, Yoon S. Lower-upper implicit schemes with multiple grids for the Euler equations. AIAA Journal 1987; 25:929-935.
    • (1987) AIAA Journal , vol.25 , pp. 929-935
    • Jameson, A.1    Yoon, S.2
  • 13
    • 57849098655 scopus 로고    scopus 로고
    • Sharov D, Nakahashi K. Reordering of 3-D hybrid unstructured grids for vectorized LU-SGS Navier-Stokes computations. AIAA Paper, 1997; 97-0617.
    • Sharov D, Nakahashi K. Reordering of 3-D hybrid unstructured grids for vectorized LU-SGS Navier-Stokes computations. AIAA Paper, 1997; 97-0617.
  • 14
    • 0032209239 scopus 로고    scopus 로고
    • A fast, matrix-free implicit method for compressible flows on unstructured grids
    • Luo H, Baum J, Löhner R. A fast, matrix-free implicit method for compressible flows on unstructured grids. Journal of Computational Physics 1998; 146:664-690.
    • (1998) Journal of Computational Physics , vol.146 , pp. 664-690
    • Luo, H.1    Baum, J.2    Löhner, R.3
  • 15
    • 0035241884 scopus 로고    scopus 로고
    • An accurate, fast, matrix-free implicit method for computing unsteady flows on unstructured grids
    • Luo H, Baum J, Löhner R. An accurate, fast, matrix-free implicit method for computing unsteady flows on unstructured grids. Computers and Fluids 2001; 30:137-159.
    • (2001) Computers and Fluids , vol.30 , pp. 137-159
    • Luo, H.1    Baum, J.2    Löhner, R.3
  • 16
    • 0035616712 scopus 로고    scopus 로고
    • A fast, matrix-free implicit method for computing low-Mach number flows on unstructured grids
    • Luo H, Baum J, Löhner R. A fast, matrix-free implicit method for computing low-Mach number flows on unstructured grids. International Journal of Computational Fluid Dynamics 2001; 14:133-157.
    • (2001) International Journal of Computational Fluid Dynamics , vol.14 , pp. 133-157
    • Luo, H.1    Baum, J.2    Löhner, R.3
  • 17
    • 20444449776 scopus 로고    scopus 로고
    • Extension of Harten-Lax-van Leer scheme for flows at all speeds
    • Luo H, Baum J, Löhner R. Extension of Harten-Lax-van Leer scheme for flows at all speeds. AIAA Journal 2005; 43:1160-1166.
    • (2005) AIAA Journal , vol.43 , pp. 1160-1166
    • Luo, H.1    Baum, J.2    Löhner, R.3
  • 18
    • 45949116154 scopus 로고
    • Preconditioned methods for solving the incompressible and low Mach compressible equations
    • Turkel E. Preconditioned methods for solving the incompressible and low Mach compressible equations. Journal of Computational Physics 1987; 72:277-298.
    • (1987) Journal of Computational Physics , vol.72 , pp. 277-298
    • Turkel, E.1
  • 19
  • 20
    • 57849154752 scopus 로고    scopus 로고
    • A matrix-free implicit method for flows at all speeds. In Computational Fluid Dynamics 2004 -
    • July, Groth C, Zingg D eds
    • Beccantini A, Corre C, Kloczko T. A matrix-free implicit method for flows at all speeds. In Computational Fluid Dynamics 2004 - Proceedings of ICCFD3, Toronto, 12-16 July 2004, Groth C, Zingg D (eds), 2006; 129-134.
    • (2004) Proceedings of ICCFD3, Toronto, 12-16 , pp. 129-134
    • Beccantini, A.1    Corre, C.2    Kloczko, T.3
  • 22
    • 57849122869 scopus 로고    scopus 로고
    • Barth T, Jespersen D. The design and application of upwind schemes on unstructured meshes. AIAA Paper, 1989; 89-0366.
    • Barth T, Jespersen D. The design and application of upwind schemes on unstructured meshes. AIAA Paper, 1989; 89-0366.
  • 23
    • 0040075637 scopus 로고
    • Convergence to steady-state solutions of the Euler equations on unstructured grids with limiters
    • Venkatakrishnan V. Convergence to steady-state solutions of the Euler equations on unstructured grids with limiters. Journal of Computational Physics 1995; 118:120.
    • (1995) Journal of Computational Physics , vol.118 , pp. 120
    • Venkatakrishnan, V.1
  • 24
    • 2942757053 scopus 로고
    • Approximate Riemann solvers, parameters vectors and difference schemes
    • Roe PL. Approximate Riemann solvers, parameters vectors and difference schemes. Journal of Computational Physics 1991; 43:357-372.
    • (1991) Journal of Computational Physics , vol.43 , pp. 357-372
    • Roe, P.L.1
  • 25
    • 0000634870 scopus 로고    scopus 로고
    • Low-diffusion flux-splitting methods for flows at all speeds
    • Edwards J, Lion M. Low-diffusion flux-splitting methods for flows at all speeds. AIAA Journal 1998; 36: 1610-1617.
    • (1998) AIAA Journal , vol.36 , pp. 1610-1617
    • Edwards, J.1    Lion, M.2
  • 26
    • 0001699454 scopus 로고
    • CEL: A time-dependent two-space dimensional coupled Eulerian-Lagrangian code
    • Noh W. CEL: a time-dependent two-space dimensional coupled Eulerian-Lagrangian code. Methods in Computational Physics 1964; 3:117-179.
    • (1964) Methods in Computational Physics , vol.3 , pp. 117-179
    • Noh, W.1
  • 27
    • 0348248644 scopus 로고    scopus 로고
    • Convergence characteristics of several approximate factorization methods
    • 16th International Conference on Numerical Methods in Fluid Dynamics, Arcachon France
    • Pulliam T, MacCormack R, Venkateswaran S. Convergence characteristics of several approximate factorization methods. 16th International Conference on Numerical Methods in Fluid Dynamics, Lecture Notes in Physics, vol. 515. Arcachon (France), 1998.
    • (1998) Lecture Notes in Physics , vol.515
    • Pulliam, T.1    MacCormack, R.2    Venkateswaran, S.3
  • 28
    • 84967387101 scopus 로고    scopus 로고
    • Stability and efficiency of implicit residual-based compact schemes
    • Hafez M, Caughey D eds
    • Corre C, Lerat A. Stability and efficiency of implicit residual-based compact schemes. In Computing the Future IV - Frontiers of CFD-2004, Hafez M, Caughey D (eds). 2005.
    • (2005) Computing the Future IV - Frontiers of CFD-2004
    • Corre, C.1    Lerat, A.2
  • 29
    • 0344389046 scopus 로고    scopus 로고
    • On the behaviour of upwind schemes in the low Mach number limit
    • Guillard H, Viozat C. On the behaviour of upwind schemes in the low Mach number limit. Computers and Fluids 1999; 28:63-86.
    • (1999) Computers and Fluids , vol.28 , pp. 63-86
    • Guillard, H.1    Viozat, C.2
  • 30
    • 10844256286 scopus 로고    scopus 로고
    • Convergence acceleration using implicit relaxation procedures for cell centre and cell vertex finite schemes, 2001FM03, Indian Institute of Science, Bangalore, India
    • Shende N, Arora K, Balakrishnan N. Convergence acceleration using implicit relaxation procedures for cell centre and cell vertex finite volume schemes. Fluid Mechanics Report 2001FM03, Indian Institute of Science, Bangalore, India, 2001.
    • (2001) Fluid Mechanics Report
    • Shende, N.1    Arora, K.2    Balakrishnan, N.3
  • 31
    • 57849163479 scopus 로고    scopus 로고
    • Thermal stripping in LWR piping systems. Technical Report MIT-NSP-TR-007, Center for Advanced Nuclear Energy Systems CANES, MA, U.S.A
    • Hu LW, Nagasawa K, Hejzlar P, Kazimi M. Thermal stripping in LWR piping systems. Technical Report MIT-NSP-TR-007, Center for Advanced Nuclear Energy Systems (CANES), MA, U.S.A., 2001.
    • (2001)
    • Hu, L.W.1    Nagasawa, K.2    Hejzlar, P.3    Kazimi, M.4
  • 32
    • 57849146414 scopus 로고    scopus 로고
    • Thermal stripping in LWR piping system. Technical Report MIT-NSP-TR-017, Center for Advanced Nuclear Energy Systems CANES, MA, U.S.A
    • Hu LW, Lee J, Saha P, Kazimi M. Thermal stripping in LWR piping system. Technical Report MIT-NSP-TR-017, Center for Advanced Nuclear Energy Systems (CANES), MA, U.S.A., 2003.
    • (2003)
    • Hu, L.W.1    Lee, J.2    Saha, P.3    Kazimi, M.4
  • 34
    • 22144482314 scopus 로고    scopus 로고
    • Paillère H, Quéré PL, Weisman C, Vierendeels J, Dick E, Braack M, Dabbene F, Beccantini A, Studer E, Kloczko T, Corre C, Heuveline V, Darbandi M, Hosseinizadeh S. Modelling of natural convection flows with large temperature differences: a benchmark problem for low Mach number solvers. Part 2: contributions to the June 2004 Conference. ENSAIM: Mathematical Modelling and Numerical Analysis 2005; 39:617-621.
    • Paillère H, Quéré PL, Weisman C, Vierendeels J, Dick E, Braack M, Dabbene F, Beccantini A, Studer E, Kloczko T, Corre C, Heuveline V, Darbandi M, Hosseinizadeh S. Modelling of natural convection flows with large temperature differences: a benchmark problem for low Mach number solvers. Part 2: contributions to the June 2004 Conference. ENSAIM: Mathematical Modelling and Numerical Analysis 2005; 39:617-621.
  • 35
    • 10944241067 scopus 로고    scopus 로고
    • Influence of large scale pressure changes on preconditioned solutions at low speeds
    • Venkateswaran S, Merkle C, Zeng X, Li D. Influence of large scale pressure changes on preconditioned solutions at low speeds. AIAA Journal 2004; 42:2490-2498.
    • (2004) AIAA Journal , vol.42 , pp. 2490-2498
    • Venkateswaran, S.1    Merkle, C.2    Zeng, X.3    Li, D.4
  • 36
    • 0003748347 scopus 로고    scopus 로고
    • Analysis of preconditioning methods for Euler and Navier-Stokes equation
    • Technical Report 1999-03, VKI Lecture Series, 1999
    • Venkateswaran S, Merkle C. Analysis of preconditioning methods for Euler and Navier-Stokes equation. Technical Report 1999-03, VKI Lecture Series, 1999.
    • Venkateswaran, S.1    Merkle, C.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.