-
2
-
-
0032128507
-
Spectro-consistent discretization of Navier-Stokes: a challenge to RANS and LES
-
Verstappen R.W.C.P., Veldman A.E.P. Spectro-consistent discretization of Navier-Stokes: a challenge to RANS and LES. J. Eng. Math. 1998, 34:163-179.
-
(1998)
J. Eng. Math.
, vol.34
, pp. 163-179
-
-
Verstappen, R.W.C.P.1
Veldman, A.E.P.2
-
3
-
-
0037407582
-
Symmetry-preserving discretization of turbulent flow
-
Verstappen R.W.C.P., Veldman A.E.P. Symmetry-preserving discretization of turbulent flow. J. Comput. Phys. 2003, 187:343-368.
-
(2003)
J. Comput. Phys.
, vol.187
, pp. 343-368
-
-
Verstappen, R.W.C.P.1
Veldman, A.E.P.2
-
4
-
-
33744482805
-
Computational design for long-term numerical integration of the equations of fluid motion: two-dimensional incompressible flow
-
Arakawa A. Computational design for long-term numerical integration of the equations of fluid motion: two-dimensional incompressible flow. J. Comput. Phys. 1966, 1:119-143.
-
(1966)
J. Comput. Phys.
, vol.1
, pp. 119-143
-
-
Arakawa, A.1
-
5
-
-
0000094119
-
Computational design of the basic dynamical process of the UCLA general circulation model
-
Arakawa A., Lamb V.R. Computational design of the basic dynamical process of the UCLA general circulation model. Methods Comput. Phys. 1977, 17:173-265.
-
(1977)
Methods Comput. Phys.
, vol.17
, pp. 173-265
-
-
Arakawa, A.1
Lamb, V.R.2
-
6
-
-
0002414440
-
Fully conservative higher order finite difference schemes for incompressible flow
-
Morinishi Y., Lund T., Vasilyev O., Moin P. Fully conservative higher order finite difference schemes for incompressible flow. J. Comput. Phys. 1998, 143:90-124.
-
(1998)
J. Comput. Phys.
, vol.143
, pp. 90-124
-
-
Morinishi, Y.1
Lund, T.2
Vasilyev, O.3
Moin, P.4
-
7
-
-
0034687916
-
High order finite difference schemes on non-uniform meshes with good conservation properties
-
Vasilyev O.V. High order finite difference schemes on non-uniform meshes with good conservation properties. J. Comput. Phys. 2000, 157:746-761.
-
(2000)
J. Comput. Phys.
, vol.157
, pp. 746-761
-
-
Vasilyev, O.V.1
-
8
-
-
84966240649
-
The numerical solution of second-order boundary value problems on nonuniform meshes
-
Manteuffel T.A., Andrew B., White J. The numerical solution of second-order boundary value problems on nonuniform meshes. Math. Comput. 1986, 47:511-535.
-
(1986)
Math. Comput.
, vol.47
, pp. 511-535
-
-
Manteuffel, T.A.1
Andrew, B.2
White, J.3
-
9
-
-
0002868129
-
Conservative properties of unstructured staggered mesh schemes
-
Perot B. Conservative properties of unstructured staggered mesh schemes. J. Comput. Phys. 2000, 159:58-89.
-
(2000)
J. Comput. Phys.
, vol.159
, pp. 58-89
-
-
Perot, B.1
-
10
-
-
0037138008
-
Accuracy and conservation properties of a three-dimensional unstructured staggered mesh scheme for fluid dynamics
-
Zhang X., Schmidt D., Perot B. Accuracy and conservation properties of a three-dimensional unstructured staggered mesh scheme for fluid dynamics. J. Comput. Phys. 2002, 175:764-791.
-
(2002)
J. Comput. Phys.
, vol.175
, pp. 764-791
-
-
Zhang, X.1
Schmidt, D.2
Perot, B.3
-
11
-
-
2942527061
-
A numerical method for large-eddy simulation in complex geometries
-
Mahesh K., Constantinescu G., Moin P. A numerical method for large-eddy simulation in complex geometries. J. Comput. Phys. 2004, 197:215-240.
-
(2004)
J. Comput. Phys.
, vol.197
, pp. 215-240
-
-
Mahesh, K.1
Constantinescu, G.2
Moin, P.3
-
12
-
-
19744365805
-
A shift transformation for fully conservative methods: turbulence simulation on complex, unstructured grids
-
Hicken J.E., Ham F.E., Militzer J., Koksal M. A shift transformation for fully conservative methods: turbulence simulation on complex, unstructured grids. J. Comput. Phys. 2005, 208:704-734.
-
(2005)
J. Comput. Phys.
, vol.208
, pp. 704-734
-
-
Hicken, J.E.1
Ham, F.E.2
Militzer, J.3
Koksal, M.4
-
14
-
-
79951967877
-
Discrete conservation properties of unstructured mesh schemes
-
Perot J.B. Discrete conservation properties of unstructured mesh schemes. Annu. Rev. Fluid Mech. 2011, 43:299-318.
-
(2011)
Annu. Rev. Fluid Mech.
, vol.43
, pp. 299-318
-
-
Perot, J.B.1
-
15
-
-
0000958123
-
A new difference scheme for parabolic problems
-
Academic Press, New York, B. Hubbard (Ed.)
-
Keller H.B. A new difference scheme for parabolic problems. Numerical Solutions of Partial Differential Equations II 1971, Academic Press, New York. B. Hubbard (Ed.).
-
(1971)
Numerical Solutions of Partial Differential Equations II
-
-
Keller, H.B.1
-
16
-
-
34548438875
-
A discrete calculus analysis of the Keller Box scheme and a generalization of the method to arbitrary meshes
-
Perot J.B., Subramanian V. A discrete calculus analysis of the Keller Box scheme and a generalization of the method to arbitrary meshes. J. Comput. Phys. 2007, 226(1):494-508.
-
(2007)
J. Comput. Phys.
, vol.226
, Issue.1
, pp. 494-508
-
-
Perot, J.B.1
Subramanian, V.2
-
17
-
-
0030525010
-
Solving diffusion equations with rough coefficients in rough grids
-
Shashkov M., Steinberg S. Solving diffusion equations with rough coefficients in rough grids. J. Comput. Phys. 1996, 129(2):383-405.
-
(1996)
J. Comput. Phys.
, vol.129
, Issue.2
, pp. 383-405
-
-
Shashkov, M.1
Steinberg, S.2
-
18
-
-
0031071242
-
Natural discretization for the divergence, gradient, and curl on logically rectangular grids
-
Hyman J.M., Shashkov M. Natural discretization for the divergence, gradient, and curl on logically rectangular grids. Comput. Math. Appl. 1997, 33:81-104.
-
(1997)
Comput. Math. Appl.
, vol.33
, pp. 81-104
-
-
Hyman, J.M.1
Shashkov, M.2
-
19
-
-
0002058288
-
The orthogonal decomposition theorems for mimetic finite difference methods
-
Hyman J.M., Shashkov M. The orthogonal decomposition theorems for mimetic finite difference methods. SIAM J. Numer. Anal. 1999, 36:788-818.
-
(1999)
SIAM J. Numer. Anal.
, vol.36
, pp. 788-818
-
-
Hyman, J.M.1
Shashkov, M.2
-
20
-
-
34248187094
-
Discrete calculus methods for diffusion
-
Perot J.B., Subramanian V. Discrete calculus methods for diffusion. J. Comput. Phys. 2007, 224:59-81.
-
(2007)
J. Comput. Phys.
, vol.224
, pp. 59-81
-
-
Perot, J.B.1
Subramanian, V.2
-
21
-
-
35348891469
-
A computational error-assessment of central finite-volume discretizations in large-eddy simulation using a Smagorinsky model
-
Meyers J., Geurts B.J., Sagaut P. A computational error-assessment of central finite-volume discretizations in large-eddy simulation using a Smagorinsky model. J. Comput. Phys. 2007, 227(1):156-173.
-
(2007)
J. Comput. Phys.
, vol.227
, Issue.1
, pp. 156-173
-
-
Meyers, J.1
Geurts, B.J.2
Sagaut, P.3
-
22
-
-
52949102994
-
Symmetry-preserving upwind discretization of convection on non-uniform grids
-
Veldman A.E.P., Lam K.W. Symmetry-preserving upwind discretization of convection on non-uniform grids. Appl. Numer. Math. 2008, 58(12):1881-1891.
-
(2008)
Appl. Numer. Math.
, vol.58
, Issue.12
, pp. 1881-1891
-
-
Veldman, A.E.P.1
Lam, K.W.2
-
23
-
-
58649086284
-
A fully discrete, kinetic energy consistent finite-volume scheme for compressible flows
-
Subbareddy P.K., Candler G.V. A fully discrete, kinetic energy consistent finite-volume scheme for compressible flows. J. Comput. Phys. 2009, 228(5):1347-1364.
-
(2009)
J. Comput. Phys.
, vol.228
, Issue.5
, pp. 1347-1364
-
-
Subbareddy, P.K.1
Candler, G.V.2
-
24
-
-
77955273607
-
Skew-symmetric form of convective terms and fully conservative finite difference schemes for variable density low-Mach number flows
-
Morinishi Y. Skew-symmetric form of convective terms and fully conservative finite difference schemes for variable density low-Mach number flows. J. Comput. Phys. 2010, 229(2):276-300.
-
(2010)
J. Comput. Phys.
, vol.229
, Issue.2
, pp. 276-300
-
-
Morinishi, Y.1
-
25
-
-
77951540257
-
A co-located incompressible Navier-Stokes solver with exact mass, momentum and kinetic energy conservation in the inviscid limit
-
Shashank, Larsson J., Iaccarino G. A co-located incompressible Navier-Stokes solver with exact mass, momentum and kinetic energy conservation in the inviscid limit. J. Comput. Phys. 2010, 229:4425-4430.
-
(2010)
J. Comput. Phys.
, vol.229
, pp. 4425-4430
-
-
Shashank, L.J.1
Iaccarino, G.2
-
26
-
-
78651418238
-
Comparison of some Lie-symmetry-based integrators
-
Chhay M., Hoarau E., Hamdouni A., Sagaut P. Comparison of some Lie-symmetry-based integrators. J. Comput. Phys. 2011, 230(5):2174-2188.
-
(2011)
J. Comput. Phys.
, vol.230
, Issue.5
, pp. 2174-2188
-
-
Chhay, M.1
Hoarau, E.2
Hamdouni, A.3
Sagaut, P.4
-
27
-
-
79954880560
-
A mimetic mass, momentum and energy conserving discretization for the shallow water equations
-
van Reeuwijk M. A mimetic mass, momentum and energy conserving discretization for the shallow water equations. Comput. Fluids 2011, 46(1):411-416.
-
(2011)
Comput. Fluids
, vol.46
, Issue.1
, pp. 411-416
-
-
van Reeuwijk, M.1
-
28
-
-
84861226582
-
Mass, momentum and energy conserving (MaMEC) discretizations on general grids for the compressible Euler and shallow water equations
-
van't Hof B., Veldman A.E.P. Mass, momentum and energy conserving (MaMEC) discretizations on general grids for the compressible Euler and shallow water equations. J. Comput. Phys. 2012, 231(14):4723-4744.
-
(2012)
J. Comput. Phys.
, vol.231
, Issue.14
, pp. 4723-4744
-
-
van't Hof, B.1
Veldman, A.E.P.2
-
29
-
-
84870509030
-
Energy-conserving Runge-Kutta methods for the incompressible Navier-Stokes equations
-
Sanderse B. Energy-conserving Runge-Kutta methods for the incompressible Navier-Stokes equations. J. Comput. Phys. 2013, 233(1):100-131.
-
(2013)
J. Comput. Phys.
, vol.233
, Issue.1
, pp. 100-131
-
-
Sanderse, B.1
-
30
-
-
84882250737
-
A simple approach to discretize the viscous term with spatially varying (eddy-)viscosity
-
Trias F.X., Gorobets A., Oliva A. A simple approach to discretize the viscous term with spatially varying (eddy-)viscosity. J. Comput. Phys. 2013, 253:405-417.
-
(2013)
J. Comput. Phys.
, vol.253
, pp. 405-417
-
-
Trias, F.X.1
Gorobets, A.2
Oliva, A.3
-
32
-
-
33645956789
-
Kinetic energy conservation issues associated with the collocated mesh scheme for incompressible flow
-
Felten F.N., Lund T.S. Kinetic energy conservation issues associated with the collocated mesh scheme for incompressible flow. J. Comput. Phys. 2006, 215:465-484.
-
(2006)
J. Comput. Phys.
, vol.215
, pp. 465-484
-
-
Felten, F.N.1
Lund, T.S.2
-
33
-
-
79961043070
-
A self-adaptive strategy for the time-integration of Navier-Stokes equations
-
Trias F.X., Lehmkuhl O. A self-adaptive strategy for the time-integration of Navier-Stokes equations. Numer. Heat Transf., Part B, Fundam. 2011, 60(2):116-134.
-
(2011)
Numer. Heat Transf., Part B, Fundam.
, vol.60
, Issue.2
, pp. 116-134
-
-
Trias, F.X.1
Lehmkuhl, O.2
-
34
-
-
84968510911
-
Numerical solution of the Navier-Stokes equations
-
Chorin A.J. Numerical solution of the Navier-Stokes equations. J. Comput. Phys. 1968, 22:745-762.
-
(1968)
J. Comput. Phys.
, vol.22
, pp. 745-762
-
-
Chorin, A.J.1
-
36
-
-
0002615718
-
An analysis of the fractional step method
-
Perot J.B. An analysis of the fractional step method. J. Comput. Phys. 1993, 108:51-58.
-
(1993)
J. Comput. Phys.
, vol.108
, pp. 51-58
-
-
Perot, J.B.1
-
38
-
-
79955654400
-
Parallel direct Poisson solver for discretizations with one Fourier diagonalizable direction
-
Borrell R., Lehmkuhl O., Trias F.X., Oliva A. Parallel direct Poisson solver for discretizations with one Fourier diagonalizable direction. J. Comput. Phys. 2011, 230:4723-4741.
-
(2011)
J. Comput. Phys.
, vol.230
, pp. 4723-4741
-
-
Borrell, R.1
Lehmkuhl, O.2
Trias, F.X.3
Oliva, A.4
-
39
-
-
0020844260
-
Numerical study of the turbulent flow past an airfoil with trailing edge separation
-
Rhie C.M., Chow W.L. Numerical study of the turbulent flow past an airfoil with trailing edge separation. AIAA J. 1983, 21:1525-1532.
-
(1983)
AIAA J.
, vol.21
, pp. 1525-1532
-
-
Rhie, C.M.1
Chow, W.L.2
-
40
-
-
70549083676
-
A comparison of staggered and non-staggered grid Navier-Stokes solutions for the 8:1 cavity natural convection flow
-
Armfield S., Street R. A comparison of staggered and non-staggered grid Navier-Stokes solutions for the 8:1 cavity natural convection flow. ANZIAM J. 2004, 46:C918-C934.
-
(2004)
ANZIAM J.
, vol.46
-
-
Armfield, S.1
Street, R.2
-
41
-
-
78049475229
-
A divergence free fractional-step method for the Navier-Stokes equations on non-staggered grids
-
Armfield S.W., Williamson N., Kirkpatrick M.P., Street R. A divergence free fractional-step method for the Navier-Stokes equations on non-staggered grids. ANZIAM J. 2009, 51:C654-C667.
-
(2009)
ANZIAM J.
, vol.51
-
-
Armfield, S.W.1
Williamson, N.2
Kirkpatrick, M.P.3
Street, R.4
-
42
-
-
0000674333
-
A second-order accurate pressure-correction scheme for viscous incompressible flows
-
van Kan J. A second-order accurate pressure-correction scheme for viscous incompressible flows. SIAM J. Sci. Stat. Comput. 1986, 7:870-891.
-
(1986)
SIAM J. Sci. Stat. Comput.
, vol.7
, pp. 870-891
-
-
van Kan, J.1
-
43
-
-
4544290284
-
Mathematical perspectives on large eddy simulation models for turbulent flows
-
Guermond J.L., Oden J.T., Prudhomme S. Mathematical perspectives on large eddy simulation models for turbulent flows. J. Math. Fluid Mech. 2004, 6:194-248.
-
(2004)
J. Math. Fluid Mech.
, vol.6
, pp. 194-248
-
-
Guermond, J.L.1
Oden, J.T.2
Prudhomme, S.3
-
44
-
-
0037279812
-
Regularization modeling for large-eddy simulation
-
Geurts B.J., Holm D.D. Regularization modeling for large-eddy simulation. Phys. Fluids 2003, 15:L13-L16.
-
(2003)
Phys. Fluids
, vol.15
-
-
Geurts, B.J.1
Holm, D.D.2
-
45
-
-
51249193194
-
Sur le movement d'un liquide visqueaux emplissant l'espace
-
Leray J. Sur le movement d'un liquide visqueaux emplissant l'espace. Acta Math. 1934, 63:193-248.
-
(1934)
Acta Math.
, vol.63
, pp. 193-248
-
-
Leray, J.1
-
46
-
-
17144376124
-
On a Leray-α model of turbulence
-
Cheskidov A., Holm D.D., Olson E., Titi E.S. On a Leray-α model of turbulence. Proc. R. Soc. A, Math. Phys. Eng. Sci. 2005, 461(2055):629-649.
-
(2005)
Proc. R. Soc. A, Math. Phys. Eng. Sci.
, vol.461
, Issue.2055
, pp. 629-649
-
-
Cheskidov, A.1
Holm, D.D.2
Olson, E.3
Titi, E.S.4
-
47
-
-
32044449589
-
Leray and LANS-α modelling of turbulent mixing
-
Geurts B.J., Holm D.D. Leray and LANS-α modelling of turbulent mixing. J. Turbul. 2006, 7:1-33.
-
(2006)
J. Turbul.
, vol.7
, pp. 1-33
-
-
Geurts, B.J.1
Holm, D.D.2
-
49
-
-
43649104777
-
On restraining the production of small scales of motion in a turbulent channel flow
-
Verstappen R. On restraining the production of small scales of motion in a turbulent channel flow. Comput. Fluids 2008, 37:887-897.
-
(2008)
Comput. Fluids
, vol.37
, pp. 887-897
-
-
Verstappen, R.1
-
52
-
-
78549288839
-
On the construction of discrete filters for symmetry-preserving regularization models
-
Trias F.X., Verstappen R.W.C.P. On the construction of discrete filters for symmetry-preserving regularization models. Comput. Fluids 2011, 40:139-148.
-
(2011)
Comput. Fluids
, vol.40
, pp. 139-148
-
-
Trias, F.X.1
Verstappen, R.W.C.P.2
-
53
-
-
55149116767
-
Supraconvergent cell-centered scheme for two-dimensional elliptic problems
-
Barbeiro S. Supraconvergent cell-centered scheme for two-dimensional elliptic problems. Appl. Numer. Math. 2009, 59:56-72.
-
(2009)
Appl. Numer. Math.
, vol.59
, pp. 56-72
-
-
Barbeiro, S.1
-
54
-
-
33751536389
-
Playing with nonuniform grids
-
Veldman A.E.P., Rinzema K. Playing with nonuniform grids. J. Eng. Math. 1992, 26:119-130.
-
(1992)
J. Eng. Math.
, vol.26
, pp. 119-130
-
-
Veldman, A.E.P.1
Rinzema, K.2
-
55
-
-
38049040823
-
Natural convection boundary layer in a 5:1 cavity
-
Barhaghi D.G., Davidson L. Natural convection boundary layer in a 5:1 cavity. Phys. Fluids 2007, 19(12):125106.
-
(2007)
Phys. Fluids
, vol.19
, Issue.12
, pp. 125106
-
-
Barhaghi, D.G.1
Davidson, L.2
-
56
-
-
37749045644
-
Direct numerical simulations of two- and three-dimensional turbulent natural convection flows in a differentially heated cavity of aspect ratio 4
-
Trias F.X., Soria M., Oliva A., Pérez-Segarra C.D. Direct numerical simulations of two- and three-dimensional turbulent natural convection flows in a differentially heated cavity of aspect ratio 4. J. Fluid Mech. 2007, 586:259-293.
-
(2007)
J. Fluid Mech.
, vol.586
, pp. 259-293
-
-
Trias, F.X.1
Soria, M.2
Oliva, A.3
Pérez-Segarra, C.D.4
-
57
-
-
0029657029
-
A pressure correction method for unstructured meshes with arbitrary control volumes
-
Davidson L. A pressure correction method for unstructured meshes with arbitrary control volumes. Int. J. Numer. Methods Fluids 1996, 22:265-281.
-
(1996)
Int. J. Numer. Methods Fluids
, vol.22
, pp. 265-281
-
-
Davidson, L.1
-
58
-
-
34248353536
-
On the influence of different stabilisation methods for the incompressible Navier-Stokes equations
-
Nägele S., Wittum G. On the influence of different stabilisation methods for the incompressible Navier-Stokes equations. J. Comput. Phys. 2007, 224:100-116.
-
(2007)
J. Comput. Phys.
, vol.224
, pp. 100-116
-
-
Nägele, S.1
Wittum, G.2
|