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Volumn 53, Issue 1, 2007, Pages 57-80

Higher-order bounded differencing schemes for compressible and incompressible flows

Author keywords

Boundedness; High resolution scheme; Normalized variable formulation; QUICK; SIMPLE; Time marching method

Indexed keywords

COMPRESSIBLE FLOW; CONVERGENCE OF NUMERICAL METHODS; COSTS; INCOMPRESSIBLE FLOW; ITERATIVE METHODS; TRANSONIC FLOW;

EID: 33845628627     PISSN: 02712091     EISSN: 10970363     Source Type: Journal    
DOI: 10.1002/fld.1248     Document Type: Article
Times cited : (29)

References (41)
  • 2
    • 0015368687 scopus 로고
    • A novel finite-difference formulation for differential expressions involving both first and second derivatives
    • Spalding DB. A novel finite-difference formulation for differential expressions involving both first and second derivatives. International Journal for Numerical Methods in Engineering 1972; 4:551-559.
    • (1972) International Journal for Numerical Methods in Engineering , vol.4 , pp. 551-559
    • Spalding, D.B.1
  • 5
    • 0024165638 scopus 로고
    • Curvature-compensated convective transport: Smart, a new boundedness-preserving transport algorithms
    • Gaskell PH, Lau AKC. Curvature-compensated convective transport: smart, a new boundedness-preserving transport algorithms. International Journal for Numerical Methods in Fluids 1988; 8:617-641.
    • (1988) International Journal for Numerical Methods in Fluids , vol.8 , pp. 617-641
    • Gaskell, P.H.1    Lau, A.K.C.2
  • 6
    • 0016993294 scopus 로고
    • Upwind second order difference schemes and applications in aerodynamic flow
    • Warming RF, Beam RM. Upwind second order difference schemes and applications in aerodynamic flow. AIAA Journal 1976; 14:1241-1249.
    • (1976) AIAA Journal , vol.14 , pp. 1241-1249
    • Warming, R.F.1    Beam, R.M.2
  • 7
    • 0018480361 scopus 로고
    • A stable and accurate convective modeling procedure based on quadratic upstream interpolation
    • Leonard BP. A stable and accurate convective modeling procedure based on quadratic upstream interpolation. Computer Methods in Applied Mechanics and Engineering 1979; 19:59-98.
    • (1979) Computer Methods in Applied Mechanics and Engineering , vol.19 , pp. 59-98
    • Leonard, B.P.1
  • 8
    • 0003280763 scopus 로고
    • A third order accurate upwind scheme for Navier Stokes solutions in three dimensions
    • In Ghia KN, Mueller TJ, Patel BR (eds). ASME Winter Meeting: Washington
    • Agarwal RK. A third order accurate upwind scheme for Navier Stokes solutions in three dimensions. In Computers in Flow Prediction and Fluid Dynamics Experiments, Ghia KN, Mueller TJ, Patel BR (eds). ASME Winter Meeting: Washington, 1981; 73-82.
    • (1981) Computers in Flow Prediction and Fluid Dynamics Experiments , pp. 73-82
    • Agarwal, R.K.1
  • 9
    • 40749159424 scopus 로고
    • High resolution schemes for hyperbolic conservation laws
    • Harten A. High resolution schemes for hyperbolic conservation laws. Journal of Computational Physics 1983; 49:357-393.
    • (1983) Journal of Computational Physics , vol.49 , pp. 357-393
    • Harten, A.1
  • 10
    • 0000233119 scopus 로고
    • Large scale computations in fluid mechanics, part 2
    • In Springer: Berlin
    • Roe PL. Large scale computations in fluid mechanics, part 2. In Lectures in Applied Mathematics, vol. 22. Springer: Berlin, 1985; 163-193.
    • (1985) Lectures in Applied Mathematics , vol.22 , pp. 163-193
    • Roe, P.L.1
  • 11
    • 0021513424 scopus 로고
    • High resolution schemes using flux limiters for hyperbolic conservation laws
    • Sweby PK. High resolution schemes using flux limiters for hyperbolic conservation laws. SIAM Journal on Numerical Analysis 1984; 21:995-1011.
    • (1984) SIAM Journal on Numerical Analysis , vol.21 , pp. 995-1011
    • Sweby, P.K.1
  • 12
    • 2442433925 scopus 로고
    • Towards the ultimate conservative difference scheme V, a second order sequel to Godunov's method
    • Van Leer B. Towards the ultimate conservative difference scheme V, a second order sequel to Godunov's method. Journal of Computational Physics 1977; 23:101-136.
    • (1977) Journal of Computational Physics , vol.23 , pp. 101-136
    • Van Leer, B.1
  • 13
    • 33845614889 scopus 로고    scopus 로고
    • Modified distribution-formula scheme for unstructured adaptive Navier-Stokes solvers
    • Chan KI, Ng EYK. Modified distribution-formula scheme for unstructured adaptive Navier-Stokes solvers. International Journal of Computational Methods 2005; 2:1-26.
    • (2005) International Journal of Computational Methods , vol.2 , pp. 1-26
    • Chan, K.I.1    Ng, E.Y.K.2
  • 14
    • 0026173702 scopus 로고
    • The ULTIMATE conservative difference scheme applied to unsteady one-dimensional advection
    • Leonard BP. The ULTIMATE conservative difference scheme applied to unsteady one-dimensional advection. Computer Methods in Applied Mechanics and Engineering 1991; 88:17-74.
    • (1991) Computer Methods in Applied Mechanics and Engineering , vol.88 , pp. 17-74
    • Leonard, B.P.1
  • 15
    • 33845641734 scopus 로고
    • Higher order flux-limiting methods for steady-state, multidimensional, convection-dominated flow
    • Report 95-131, Delft University of Technology
    • Zijlema M, Wesseling P. Higher order flux-limiting methods for steady-state, multidimensional, convection-dominated flow. Report 95-131, Delft University of Technology, 1995.
    • (1995)
    • Zijlema, M.1    Wesseling, P.2
  • 21
    • 0344687428 scopus 로고    scopus 로고
    • Refinement of the convective boundedness criterion of Gaskell and Lau
    • Hou PL, Tao WQ, Yu MZ. Refinement of the convective boundedness criterion of Gaskell and Lau. Engineering Computations 2003; 20:1023-1043.
    • (2003) Engineering Computations , vol.20 , pp. 1023-1043
    • Hou, P.L.1    Tao, W.Q.2    Yu, M.Z.3
  • 23
    • 0037470857 scopus 로고    scopus 로고
    • The X-schemes: A new consistent high-resolution formulation based on the normalized variable methodology
    • Darwish M, Moukalled F. The X-schemes: a new consistent high-resolution formulation based on the normalized variable methodology. Computer Methods in Applied Mechanics and Engineering 2003; 192:1711-1730.
    • (2003) Computer Methods in Applied Mechanics and Engineering , vol.192 , pp. 1711-1730
    • Darwish, M.1    Moukalled, F.2
  • 26
    • 0024099483 scopus 로고
    • Simple high-accuracy resolution program for convective modeling of discontinuities
    • Leonard BP. Simple high-accuracy resolution program for convective modeling of discontinuities. International Journal for Numerical Methods in Engineering 1988; 8:1291-1318.
    • (1988) International Journal for Numerical Methods in Engineering , vol.8 , pp. 1291-1318
    • Leonard, B.P.1
  • 28
    • 0001459708 scopus 로고
    • A method for reducing dispersion in convective difference schemes
    • Fromm JE. A method for reducing dispersion in convective difference schemes. Journal of Computational Physics 1968; 3:176-189.
    • (1968) Journal of Computational Physics , vol.3 , pp. 176-189
    • Fromm, J.E.1
  • 29
    • 0345805082 scopus 로고
    • A diagonally dominant second-order accurate implicit scheme
    • Khosla PK, Rubin SG. A diagonally dominant second-order accurate implicit scheme. Computers and Fluids 1974; 2:207-209.
    • (1974) Computers and Fluids , vol.2 , pp. 207-209
    • Khosla, P.K.1    Rubin, S.G.2
  • 30
    • 0036801314 scopus 로고    scopus 로고
    • A new stability-guaranteed second-order difference scheme
    • Li ZY, Tao, WQ. A new stability-guaranteed second-order difference scheme. Numerical Heat Transfer, Part B 2002; 42:349-365.
    • (2002) Numerical Heat Transfer, Part B , vol.42 , pp. 349-365
    • Li, Z.Y.1    Tao, W.Q.2
  • 31
    • 0003537972 scopus 로고
    • A finite volume method for the prediction of three-dimensional fluid flow in complex ducts
    • Ph.D. Thesis, Imperial College, University of London, U.K
    • Peric M. A finite volume method for the prediction of three-dimensional fluid flow in complex ducts. Ph.D. Thesis, Imperial College, University of London, U.K., 1985.
    • (1985)
    • Peric, M.1
  • 32
    • 33845511110 scopus 로고    scopus 로고
    • Multigrid solution of Euler equations using high-resolution NVD differencing scheme for unstructured meshes
    • in press
    • Ng KC, Yusoff MZ, Ng EYK. Multigrid solution of Euler equations using high-resolution NVD differencing scheme for unstructured meshes. Progress in Computational Fluid Dynamics 2006, in press.
    • (2006) Progress in Computational Fluid Dynamics
    • Ng, K.C.1    Yusoff, M.Z.2    Ng, E.Y.K.3
  • 33
    • 33845648931 scopus 로고    scopus 로고
    • Multigrid solution using high-resolution NVF differencing scheme for solution-adaptive unstructured meshes
    • Ph.D. Thesis, College of Engineering, Universiti Tenaga Nasional, Malaysia
    • Ng KC. Multigrid solution using high-resolution NVF differencing scheme for solution-adaptive unstructured meshes. Ph.D. Thesis, College of Engineering, Universiti Tenaga Nasional, Malaysia, 2006.
    • (2006)
    • Ng, K.C.1
  • 34
    • 0003655741 scopus 로고
    • Numerical solutions of the Euler equations by finite volume methods using Runge-Kutta time stepping schemes
    • AIAA Paper No. 81-1259
    • Jameson A, Schmidt W, Turkel E. Numerical solutions of the Euler equations by finite volume methods using Runge-Kutta time stepping schemes. AIAA Paper No. 81-1259, 1981.
    • (1981)
    • Jameson, A.1    Schmidt, W.2    Turkel, E.3
  • 35
    • 0003562267 scopus 로고
    • Transonic flow calculations
    • MAE Report 1651, MAE Department, Princeton University, U.S.A
    • Jameson A. Transonic flow calculations. MAE Report 1651, MAE Department, Princeton University, U.S.A., 1983.
    • (1983)
    • Jameson, A.1
  • 36
    • 20544434305 scopus 로고
    • On the higher-order bounded discretization schemes for finite volume computations of incompressible flows
    • Zhu J. On the higher-order bounded discretization schemes for finite volume computations of incompressible flows. Computer Methods in Applied Mechanics and Engineering 1992; 98:345-360.
    • (1992) Computer Methods in Applied Mechanics and Engineering , vol.98 , pp. 345-360
    • Zhu, J.1
  • 37
    • 0020844260 scopus 로고
    • A numerical study of the turbulent flow past an isolated airfoil with trailing edge separation
    • Rhie CM, Chow WL. A numerical study of the turbulent flow past an isolated airfoil with trailing edge separation. AIAA Journal 1983; 21:1525-1532.
    • (1983) AIAA Journal , vol.21 , pp. 1525-1532
    • Rhie, C.M.1    Chow, W.L.2
  • 38
    • 0003971796 scopus 로고    scopus 로고
    • Error analysis and estimation for the finite volume method with applications to fluid flows
    • Ph.D. Thesis, Imperial College, University of London, U.K
    • Jasak H. Error analysis and estimation for the finite volume method with applications to fluid flows. Ph.D. Thesis, Imperial College, University of London, U.K., 1996.
    • (1996)
    • Jasak, H.1
  • 39
    • 0031106411 scopus 로고    scopus 로고
    • A high-resolution pressure-based method for compressible flows
    • Rincon J, Elder R. A high-resolution pressure-based method for compressible flows. Computers and Fluids 1997; 26:217-231.
    • (1997) Computers and Fluids , vol.26 , pp. 217-231
    • Rincon, J.1    Elder, R.2
  • 40
    • 0020209106 scopus 로고
    • A multiple grid scheme for solving the Enter equations
    • Ni RH. A multiple grid scheme for solving the Enter equations. AIAA Journal 1982; 20:1565-1571.
    • (1982) AIAA Journal , vol.20 , pp. 1565-1571
    • Ni, R.H.1
  • 41
    • 12744281253 scopus 로고    scopus 로고
    • Taylor series expansion- and least square-based Lattice Boltzmann method: An efficient approach for simulation of incompressible viscous flow
    • Shu C, Niu XD, Peng Y, Chew YT. Taylor series expansion- and least square-based Lattice Boltzmann method: an efficient approach for simulation of incompressible viscous flow. Progress in Computational Fluid Dynamics. 2005; 5:27-36.
    • (2005) Progress in Computational Fluid Dynamics , vol.5 , pp. 27-36
    • Shu, C.1    Niu, X.D.2    Peng, Y.3    Chew, Y.T.4


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.