-
1
-
-
0031537299
-
High-order accurate discontinuous finite element solution of the 2D Euler equations
-
F. BASSI AND S. REBAY, High-order accurate discontinuous finite element solution of the 2D Euler equations, J. Comput. Phys., 138 (1997), pp. 251-285.
-
(1997)
J. Comput. Phys.
, vol.138
, pp. 251-285
-
-
Bassi, F.1
Rebay, S.2
-
2
-
-
3042707695
-
H-box methods for the approximation of hyperbolic conservation laws on irregular grids
-
M. J. BERGER, C. HELZEL, AND R. J. LEVEQUE, h-box methods for the approximation of hyperbolic conservation laws on irregular grids, SIAM J. Numer. Anal., 41 (2003), pp. 893-918.
-
(2003)
SIAM J. Numer. Anal.
, vol.41
, pp. 893-918
-
-
Berger, M.J.1
Helzel, C.2
Leveque, R.J.3
-
3
-
-
84878028120
-
Cartesian meshes and adaptive refinement for hyperbolic partial differential equations
-
B. Engquist and B. Gustafsson, eds., Studentlitteratur, Lund, Sweden
-
M. BERGER AND R. J. LEVEQUE, Cartesian meshes and adaptive refinement for hyperbolic partial differential equations, in Proceedings of the Third International Conference on Hyperbolic Problems, B. Engquist and B. Gustafsson, eds., Studentlitteratur, Lund, Sweden, 1991, pp. 67-73.
-
(1991)
Proceedings of the Third International Conference on Hyperbolic Problems
, pp. 67-73
-
-
Berger, M.1
Leveque, R.J.2
-
4
-
-
0039195421
-
Finite volume methods for irregular one-dimensional grids
-
Mathematics of Computation 1943-1993: A Half-Century of Computational Mathematics, AMS, Providence, RI
-
M. BERGER, R. LEVEQUE, AND L. STERN, Finite volume methods for irregular one-dimensional grids, in Mathematics of Computation 1943-1993: A Half-Century of Computational Mathematics, Proc. Symp. Appl. Math. 48, AMS, Providence, RI, 1994, pp. 255-259.
-
(1994)
Proc. Symp. Appl. Math.
, vol.48
, pp. 255-259
-
-
Berger, M.1
Leveque, R.2
Stern, L.3
-
5
-
-
85006932855
-
-
Paper AIAA-89-1930, American Institute of Aeronautics and Astronautics, Reston, VA
-
M. BERGER AND R. LEVEQUE, An Adaptive Cartesian Mesh Algorithm for the Euler Equations in Arbitrary Geometries, Paper AIAA-89-1930, American Institute of Aeronautics and Astronautics, Reston, VA, 1989.
-
(1989)
An Adaptive Cartesian Mesh Algorithm for the Euler Equations in Arbitrary Geometries
-
-
Berger, M.1
Leveque, R.2
-
6
-
-
0008352647
-
Stable boundary conditions for Cartesian grid calculations
-
M. BERGER AND R. LEVEQUE, Stable boundary conditions for Cartesian grid calculations, Comput. Systems Engrg., 1 (1990), pp. 305-311.
-
(1990)
Comput. Systems Engrg.
, vol.1
, pp. 305-311
-
-
Berger, M.1
Leveque, R.2
-
7
-
-
0039929089
-
-
Paper CP-91-1602, American Institute of Aeronautics and Astronautics, Reston, VA
-
M. BERGER AND R. LEVEQUE, A Rotated Difference Scheme for Cartesian Grids in Complex Geometries, Paper CP-91-1602, American Institute of Aeronautics and Astronautics, Reston, VA, 1991.
-
(1991)
A Rotated Difference Scheme for Cartesian Grids in Complex Geometries
-
-
Berger, M.1
Leveque, R.2
-
8
-
-
50249102915
-
A Cartesian grid finite-volume method for the advection diffusion equation in irregular geometries
-
D. CALHOUN AND R. LEVEQUE, A Cartesian grid finite-volume method for the advection diffusion equation in irregular geometries, J. Comput. Phys., 157 (2000), pp. 143-180.
-
(2000)
J. Comput. Phys.
, vol.157
, pp. 143-180
-
-
Calhoun, D.1
Leveque, R.2
-
9
-
-
0003700418
-
-
Preprint UCRL-97200, Lawrence Livermore National Lab, Livermore, CA
-
I.-L. CHERN AND P. COLELLA, A Conservative Front Tracking Method for Hyperbolic Conservation Laws. Preprint UCRL-97200, Lawrence Livermore National Lab, Livermore, CA, 1987.
-
(1987)
A Conservative front Tracking Method for Hyperbolic Conservation Laws
-
-
Chern, I.-L.1
Colella, P.2
-
10
-
-
0000544129
-
An accuracy assessment of Cartesian-mesh approaches for the Euler equations
-
W. COIRIER AND K. POWELL, An accuracy assessment of Cartesian-mesh approaches for the Euler equations, J. Comput. Phys., 117 (1995), pp. 121-131.
-
(1995)
J. Comput. Phys.
, vol.117
, pp. 121-131
-
-
Coirier, W.1
Powell, K.2
-
11
-
-
26844455510
-
Multidimensional upwind methods for hyperbolic conservation laws
-
P. COLELLA, Multidimensional upwind methods for hyperbolic conservation laws, J. Comput. Phys., 87 (1990), pp. 171-200.
-
(1990)
J. Comput. Phys.
, vol.87
, pp. 171-200
-
-
Colella, P.1
-
12
-
-
19644363827
-
A cartesian grid embedded boundary method for hyperbolic conservation laws
-
Lawrence Berkeley National Laboratory, Berkeley, CA
-
P. COLELLA, D. T. GRAVES, B. J. KEEN, AND D. MODIANO, A Cartesian Grid Embedded Boundary Method for Hyperbolic Conservation Laws, Tech. report LBNL-56420, Lawrence Berkeley National Laboratory, Berkeley, CA, 2004.
-
(2004)
Tech. Report
, vol.LBNL-56420
-
-
Colella, P.1
Graves, D.T.2
Keen, B.J.3
Modiano, D.4
-
13
-
-
0028372468
-
Surface boundary conditions for the numerical solution of the Euler equations
-
A. DADONE AND B. GROSSMAN, Surface boundary conditions for the numerical solution of the Euler equations, AIAA J., 32 (1994), pp. 285-293.
-
(1994)
AIAA J.
, vol.32
, pp. 285-293
-
-
Dadone, A.1
Grossman, B.2
-
14
-
-
0032534115
-
Symmetry techniques for the numerical solution of the 2D Euler equations at impermeable boundaries
-
A. DADONE, Symmetry techniques for the numerical solution of the 2D Euler equations at impermeable boundaries, Internat. J. Numer. Methods Fluids, 28 (1998), pp. 1093-1108.
-
(1998)
Internat. J. Numer. Methods Fluids
, vol.28
, pp. 1093-1108
-
-
Dadone, A.1
-
15
-
-
0002290186
-
A rotationally biased upwind difference scheme for the Euler equations
-
S. DAVIS, A rotationally biased upwind difference scheme for the Euler equations, J. Comput. Phys., 56 1984), pp. 65-92.
-
(1984)
J. Comput. Phys.
, vol.56
, pp. 65-92
-
-
Davis, S.1
-
16
-
-
0001779719
-
A two-dimensional conservation laws scheme for compressible flows with moving boundaries
-
J. FALCOVITZ, G. ALFANDARY, AND G. HANOCH, A two-dimensional conservation laws scheme for compressible flows with moving boundaries, J. Comput. Phys., 138 (1997), pp. 83-102.
-
(1997)
J. Comput. Phys.
, vol.138
, pp. 83-102
-
-
Falcovitz, J.1
Alfandary, G.2
Hanoch, G.3
-
17
-
-
0013528852
-
Flow simulations on Cartesian grids involving complex moving geometries
-
Hyperbolic Problems: Theory, Numerics, Applications, Vol. I (Zurich, 1998), Birkhäuser, Basel
-
H. FORRER AND M. BERGER, Flow simulations on Cartesian grids involving complex moving geometries, in Hyperbolic Problems: Theory, Numerics, Applications, Vol. I (Zurich, 1998), Internat. Ser. Numer. Math. 129, Birkhäuser, Basel, 1999, pp. 315-324.
-
(1999)
Internat. Ser. Numer. Math.
, vol.129
, pp. 315-324
-
-
Forrer, H.1
Berger, M.2
-
18
-
-
0000307275
-
A high-order boundary treatment for Cartesian-grid methods
-
H. FORRER AND R. JELTSCH, A high-order boundary treatment for Cartesian-grid methods, J. Comput. Phys., 140 (1998), pp. 259-277.
-
(1998)
J. Comput. Phys.
, vol.140
, pp. 259-277
-
-
Forrer, H.1
Jeltsch, R.2
-
19
-
-
84966247471
-
The convergence rate for difference approximations to mixed initial boundary value problems
-
B. GUSTAFSSON, The convergence rate for difference approximations to mixed initial boundary value problems, Math. Comp., 29 (1975), pp. 396-406.
-
(1975)
Math. Comp.
, vol.29
, pp. 396-406
-
-
Gustafsson, B.1
-
20
-
-
84980187419
-
Iterative solution of transonic flow over airfoils and wings, including flows at Mach 1
-
A. JAMESON, Iterative solution of transonic flow over airfoils and wings, including flows at Mach 1, Comm. Pure. Appl. Math., 27 (1974), pp. 283-309.
-
(1974)
Comm. Pure. Appl. Math.
, vol.27
, pp. 283-309
-
-
Jameson, A.1
-
21
-
-
0001357181
-
Cartesian grid methods for flow in irregular regions
-
K. W. Morton and M. J. Baines, eds., Clarendon Press, New York
-
R. J. LEVEQUE, Cartesian grid methods for flow in irregular regions, in Numerical Methods for Fluid Dynamics III, K. W. Morton and M. J. Baines, eds., Clarendon Press, New York, 1988. pp. 375-382.
-
(1988)
Numerical Methods for Fluid Dynamics III
, pp. 375-382
-
-
Leveque, R.J.1
-
22
-
-
0002258785
-
High resolution finite volume methods on arbitrary grids via wave propagation
-
R. J. LEVEQUE, High resolution finite volume methods on arbitrary grids via wave propagation, J. Comput. Phys., 78 (1988), pp. 36-63.
-
(1988)
J. Comput. Phys.
, vol.78
, pp. 36-63
-
-
Leveque, R.J.1
-
23
-
-
0022388409
-
A large time step generalization of Godunov's method for systems of conservation laws
-
R. J. LEVEQUE, A large time step generalization of Godunov's method for systems of conservation laws, SIAM J. Numer. Anal., 22 (1985), pp. 1051-1073.
-
(1985)
SIAM J. Numer. Anal.
, vol.22
, pp. 1051-1073
-
-
Leveque, R.J.1
-
24
-
-
0000314925
-
High-resolution conservative algorithms for advection in incompressible flow
-
R. J. LEVEQUE, High-resolution conservative algorithms for advection in incompressible flow, SIAM J. Numer. Anal., 33 (1996), pp. 627-665.
-
(1996)
SIAM J. Numer. Anal.
, vol.33
, pp. 627-665
-
-
Leveque, R.J.1
-
25
-
-
0000308880
-
Wave propagation algorithms for multidimensional hyperbolic systems
-
R. LEVEQUE, Wave propagation algorithms for multidimensional hyperbolic systems, J. Comput. Phys., 131 (1997), pp. 327-353.
-
(1997)
J. Comput. Phys.
, vol.131
, pp. 327-353
-
-
Leveque, R.1
-
29
-
-
0000845465
-
Use of a rotated Riemann solver for the two-dimensional Euler equations
-
D. LEVY, K. POWELL, AND B. VAN LEER, Use of a rotated Riemann solver for the two-dimensional Euler equations, J. Comput. Phys., 106 (1993), pp. 201-214.
-
(1993)
J. Comput. Phys.
, vol.106
, pp. 201-214
-
-
Levy, D.1
Powell, K.2
Van Leer, B.3
-
30
-
-
1942511452
-
Comparison of several difference schemes on 1D and 2D test problems for the Euler equations
-
R. LISKA AND B. WENDROPF, Comparison of several difference schemes on 1D and 2D test problems for the Euler equations, SIAM J. Sci. Comput., 25 (2003), pp. 995-1017.
-
(2003)
SIAM J. Sci. Comput.
, vol.25
, pp. 995-1017
-
-
Liska, R.1
Wendropf, B.2
-
31
-
-
0000534145
-
On the analysis of finite volume methods for evolutionary problems
-
K. MORTON, On the analysis of finite volume methods for evolutionary problems, SIAM J. Numer. Anal., 35 (1998), pp. 2195-2222.
-
(1998)
SIAM J. Numer. Anal.
, vol.35
, pp. 2195-2222
-
-
Morton, K.1
-
32
-
-
2942742094
-
-
Paper AIAA 2003-1119, American Institute of Aeronautics and Astronautics, Reston, VA
-
S. MURMAN, M. AFTOSMIS, AND M. BERGER, Implicit Approaches for Moving Boundaries in a 3-D Cartesian Method, Paper AIAA 2003-1119, American Institute of Aeronautics and Astronautics, Reston, VA, 2003.
-
(2003)
Implicit Approaches for Moving Boundaries in a 3-D Cartesian Method
-
-
Murman, S.1
Aftosmis, M.2
Berger, M.3
-
33
-
-
0346179635
-
An adaptive Cartesian grid method for unsteady compressible flow in irregular regions
-
R. PEMBER, J. BELL, P. COLELLA, W. CRUTCHFIELD, AND M. L.WELCOME, An adaptive Cartesian grid method for unsteady compressible flow in irregular regions, J. Comput. Phys., 120 (1995), pp. 278-304.
-
(1995)
J. Comput. Phys.
, vol.120
, pp. 278-304
-
-
Pember, R.1
Bell, J.2
Colella, P.3
Crutchfield, W.4
Welcome, M.L.5
-
34
-
-
0028179795
-
An alternative to unstructured grids for computing gas dynamic flows around arbitrarily complex two-dimensional bodies
-
J. QUIRK, An alternative to unstructured grids for computing gas dynamic flows around arbitrarily complex two-dimensional bodies, Comput. & Fluids, 23 (1994), pp. 125-142.
-
(1994)
Comput. & Fluids
, vol.23
, pp. 125-142
-
-
Quirk, J.1
-
35
-
-
0026965646
-
Optimum positive linear schemes for advection in two and three dimensions
-
P. L. ROE AND D. SIDILKOVER, Optimum positive linear schemes for advection in two and three dimensions, SIAM J. Numer. Anal., 29 (1992), pp. 1542-1568.
-
(1992)
SIAM J. Numer. Anal.
, vol.29
, pp. 1542-1568
-
-
Roe, P.L.1
Sidilkover, D.2
-
36
-
-
0003332686
-
Numerical solution of the Riemann problem for two-dimensional gas dynamics
-
C. W. SCHULTZ-RINNE, J. P. COLLINS, AND H. M. GLAZ, Numerical solution of the Riemann problem for two-dimensional gas dynamics, SIAM J. Sci. Comput., 14 (1993), pp. 1394-1414.
-
(1993)
SIAM J. Sci. Comput.
, vol.14
, pp. 1394-1414
-
-
Schultz-Rinne, C.W.1
Collins, J.P.2
Glaz, H.M.3
-
37
-
-
0027540036
-
Multigrid solution to steady-state two-dimensional conservation laws
-
D. SIDILKOVER AND A. BRANDT, Multigrid solution to steady-state two-dimensional conservation laws, SIAM J. Numer. Anal., 30 (1993), pp. 249-274.
-
(1993)
SIAM J. Numer. Anal.
, vol.30
, pp. 249-274
-
-
Sidilkover, D.1
Brandt, A.2
-
38
-
-
0008483201
-
Unification of some advection schemes in two dimensions
-
NASA Langley Research Center, Hampton, VA
-
D. SIDILKOVER AND P. ROE, Unification of Some Advection Schemes in Two Dimensions, Tech. report 95-10, NASA Langley Research Center, Hampton, VA, 1995. Available online at http://www.icase.edu/library/reports/rdp/1995.html.
-
(1995)
Tech. Report
, vol.95
, Issue.10
-
-
Sidilkover, D.1
Roe, P.2
-
39
-
-
0030906224
-
High resolution numerical simulation of ideal and non-ideal compressible reacting flows with embedded internal boundaries
-
S. Xu, T. ASLAM, AND D. STEWART, High resolution numerical simulation of ideal and non-ideal compressible reacting flows with embedded internal boundaries, Combust. Theory Modelling, 1 (1997), pp. 113-142.
-
(1997)
Combust. Theory Modelling
, vol.1
, pp. 113-142
-
-
Xu, S.1
Aslam, T.2
Stewart, D.3
|