-
1
-
-
0012465480
-
Approximation du problème de Riemann vraiment multidimensionnel des èquations d'Euler par une methode de type Roe, I: La linèarisation
-
Abgrall R. Approximation du problème de Riemann vraiment multidimensionnel des èquations d'Euler par une methode de type Roe, I: La linèarisation. C.R. Acad. Sci. Ser. I 319 (1994) 499
-
(1994)
C.R. Acad. Sci. Ser. I
, vol.319
, pp. 499
-
-
Abgrall, R.1
-
2
-
-
0012465480
-
Approximation du problème de Riemann vraiment multidimensionnel des èquations d'Euler par une methode de type Roe, II: Solution du probleme de Riemann approchè
-
Abgrall R. Approximation du problème de Riemann vraiment multidimensionnel des èquations d'Euler par une methode de type Roe, II: Solution du probleme de Riemann approchè. C.R. Acad. Sci. Ser. I 319 (1994) 625
-
(1994)
C.R. Acad. Sci. Ser. I
, vol.319
, pp. 625
-
-
Abgrall, R.1
-
3
-
-
0032339882
-
Linearized formulation of the Riemann problem for adiabatic and isothermal magnetohydrodynamics
-
Balsara D.S. Linearized formulation of the Riemann problem for adiabatic and isothermal magnetohydrodynamics. Astrophys. J. Suppl. 116 (1998) 119
-
(1998)
Astrophys. J. Suppl.
, vol.116
, pp. 119
-
-
Balsara, D.S.1
-
4
-
-
0035842859
-
Divergence-free adaptive mesh refinement for magnetohydrodynamics
-
Balsara D.S. Divergence-free adaptive mesh refinement for magnetohydrodynamics. J. Comput. Phys. 174 (2001) 614-648
-
(2001)
J. Comput. Phys.
, vol.174
, pp. 614-648
-
-
Balsara, D.S.1
-
5
-
-
1842764950
-
Second-order-accurate schemes for magnetohydrodynamics with divergence-free reconstruction
-
Balsara D.S. Second-order-accurate schemes for magnetohydrodynamics with divergence-free reconstruction. Astrophys. J. Suppl. 151 (2004) 149-184
-
(2004)
Astrophys. J. Suppl.
, vol.151
, pp. 149-184
-
-
Balsara, D.S.1
-
6
-
-
67349185033
-
Divergence-free reconstruction of magnetic fields and WENO schemes for magnetohydrodynamics
-
Balsara D.S. Divergence-free reconstruction of magnetic fields and WENO schemes for magnetohydrodynamics. J. Comput. Phys. 228 (2009) 5040-5056
-
(2009)
J. Comput. Phys.
, vol.228
, pp. 5040-5056
-
-
Balsara, D.S.1
-
7
-
-
60149101429
-
Efficient, high accuracy ADER-WENO schemes for hydrodynamics and divergence-free magnetohydrodynamics
-
Balsara D.S., Rumpf T., Dumbser M., and Munz C.-D. Efficient, high accuracy ADER-WENO schemes for hydrodynamics and divergence-free magnetohydrodynamics. J. Comput. Phys. 228 (2009) 2480-2516
-
(2009)
J. Comput. Phys.
, vol.228
, pp. 2480-2516
-
-
Balsara, D.S.1
Rumpf, T.2
Dumbser, M.3
Munz, C.-D.4
-
8
-
-
0000897959
-
Monotonicity preserving weighted non-oscillatory schemes with increasingly high order of accuracy
-
Balsara D.S., and Shu C.-W. Monotonicity preserving weighted non-oscillatory schemes with increasingly high order of accuracy. J. Comput. Phys. 160 (2000) 405-452
-
(2000)
J. Comput. Phys.
, vol.160
, pp. 405-452
-
-
Balsara, D.S.1
Shu, C.-W.2
-
9
-
-
0001690874
-
A staggered mesh algorithm using high order Godunov fluxes to ensure solenoidal magnetic fields in magnetohydrodynamic simulations
-
Balsara D.S., and Spicer D.S. A staggered mesh algorithm using high order Godunov fluxes to ensure solenoidal magnetic fields in magnetohydrodynamic simulations. J. Comput. Phys. 149 (1999) 270-292
-
(1999)
J. Comput. Phys.
, vol.149
, pp. 270-292
-
-
Balsara, D.S.1
Spicer, D.S.2
-
11
-
-
0001689247
-
The effect of nonzero ∇ · B on the numerical solution of the magnetohydrodynamic equations
-
Brackbill J.U., and Barnes D.C. The effect of nonzero ∇ · B on the numerical solution of the magnetohydrodynamic equations. J. Comput. Phys. 35 (1980) 426-430
-
(1980)
J. Comput. Phys.
, vol.35
, pp. 426-430
-
-
Brackbill, J.U.1
Barnes, D.C.2
-
13
-
-
0012926485
-
Two-dimensional Riemann solver for Euler equations of gas dynamics
-
Brio M., Zakharian A.R., and Webb G.M. Two-dimensional Riemann solver for Euler equations of gas dynamics. J. Comput. Phys. 167 (2001) 177-195
-
(2001)
J. Comput. Phys.
, vol.167
, pp. 177-195
-
-
Brio, M.1
Zakharian, A.R.2
Webb, G.M.3
-
14
-
-
0031571997
-
Roe matrices for ideal MHD and systematic construction of Roe matrices for systems of conservation laws
-
Cargo P., and Gallice G. Roe matrices for ideal MHD and systematic construction of Roe matrices for systems of conservation laws. J. Comput. Phys. 136 (1997) 446
-
(1997)
J. Comput. Phys.
, vol.136
, pp. 446
-
-
Cargo, P.1
Gallice, G.2
-
15
-
-
0000480805
-
A direct Eulerian MUSCL scheme for gas dynamics
-
Colella P. A direct Eulerian MUSCL scheme for gas dynamics. SIAM J. Sci. Statist. Comput. 6 (1985) 104
-
(1985)
SIAM J. Sci. Statist. Comput.
, vol.6
, pp. 104
-
-
Colella, P.1
-
16
-
-
26844455510
-
Multidimensional upwind methods for hyperbolic conservation laws
-
Colella P. Multidimensional upwind methods for hyperbolic conservation laws. J. Comput. Phys. 87 (1990) 171
-
(1990)
J. Comput. Phys.
, vol.87
, pp. 171
-
-
Colella, P.1
-
17
-
-
34547419627
-
The piecewise parabolic method (PPM) for gas-dynamical simulations
-
Colella P., and Woodward P.R. The piecewise parabolic method (PPM) for gas-dynamical simulations. J. Comput. Phys. 54 (1984) 174-201
-
(1984)
J. Comput. Phys.
, vol.54
, pp. 174-201
-
-
Colella, P.1
Woodward, P.R.2
-
18
-
-
33645674549
-
On the divergence-free condition and conservation laws in numerical simulations for supersonic magnetohydrodynamic flows
-
Dai W., and Woodward P.R. On the divergence-free condition and conservation laws in numerical simulations for supersonic magnetohydrodynamic flows. Astrophys. J. 494 (1998) 317-335
-
(1998)
Astrophys. J.
, vol.494
, pp. 317-335
-
-
Dai, W.1
Woodward, P.R.2
-
19
-
-
0037137996
-
Hyperbolic divergence cleaning for MHD equations
-
Dedner A., Kemm F., Kröener D., Munz C.-D., Schnitzer T., and Wesenberg M. Hyperbolic divergence cleaning for MHD equations. J. Comput. Phys. 175 (2002) 645-673
-
(2002)
J. Comput. Phys.
, vol.175
, pp. 645-673
-
-
Dedner, A.1
Kemm, F.2
Kröener, D.3
Munz, C.-D.4
Schnitzer, T.5
Wesenberg, M.6
-
20
-
-
0001409128
-
Flux-corrected transport techniques for multidimensional compressible magnetohydrodynamics
-
DeVore C.R. Flux-corrected transport techniques for multidimensional compressible magnetohydrodynamics. J. Comput. Phys. 92 (1991) 142-160
-
(1991)
J. Comput. Phys.
, vol.92
, pp. 142-160
-
-
DeVore, C.R.1
-
21
-
-
0001394094
-
On Godunov-type methods for gas dynamics
-
Einfeldt B. On Godunov-type methods for gas dynamics. SIAM J. Numer. Anal. 25 3 (1988) 294-318
-
(1988)
SIAM J. Numer. Anal.
, vol.25
, Issue.3
, pp. 294-318
-
-
Einfeldt, B.1
-
23
-
-
0000194504
-
Simulation of magnetohydrodynamic flows: a constrained transport method
-
Evans C.R., and Hawley J.F. Simulation of magnetohydrodynamic flows: a constrained transport method. Astrophys. J. 332 (1989) 659
-
(1989)
Astrophys. J.
, vol.332
, pp. 659
-
-
Evans, C.R.1
Hawley, J.F.2
-
24
-
-
0000471334
-
Multidimensional upwinding 1. The method of transport for solving the Euler equations
-
Fey M. Multidimensional upwinding 1. The method of transport for solving the Euler equations. J. Comput. Phys. 143 (1998) 159
-
(1998)
J. Comput. Phys.
, vol.143
, pp. 159
-
-
Fey, M.1
-
25
-
-
0000471333
-
Multidimensional upwinding 2. Decomposition of the Euler equation into advection equation
-
Fey M. Multidimensional upwinding 2. Decomposition of the Euler equation into advection equation. J. Comput. Phys. 143 (1998) 181
-
(1998)
J. Comput. Phys.
, vol.143
, pp. 181
-
-
Fey, M.1
-
26
-
-
57649129177
-
Splitting based finite volume schemes for the ideal MHD equations
-
Fuchs F., Mishra S., and Risebro N.H. Splitting based finite volume schemes for the ideal MHD equations. J. Comput. Phys. 228 3 (2009) 641-660
-
(2009)
J. Comput. Phys.
, vol.228
, Issue.3
, pp. 641-660
-
-
Fuchs, F.1
Mishra, S.2
Risebro, N.H.3
-
27
-
-
17144378992
-
An unsplit Godunov method for ideal MHD via constrained transport
-
Gardiner T., and Stone J.M. An unsplit Godunov method for ideal MHD via constrained transport. J. Comput. Phys. 295 (2005) 509
-
(2005)
J. Comput. Phys.
, vol.295
, pp. 509
-
-
Gardiner, T.1
Stone, J.M.2
-
28
-
-
0038737608
-
Multidimensional Riemann problems for linear hyperbolic systems
-
Gilquin H., Laurens J., and Rosier C. Multidimensional Riemann problems for linear hyperbolic systems. Notes Numer. Fluid Mech. 43 (1993) 284
-
(1993)
Notes Numer. Fluid Mech.
, vol.43
, pp. 284
-
-
Gilquin, H.1
Laurens, J.2
Rosier, C.3
-
29
-
-
0000935266
-
Finite difference methods for the computation of discontinuous solutions of the equations of fluid dynamics
-
Godunov S.K. Finite difference methods for the computation of discontinuous solutions of the equations of fluid dynamics. Math. USSR, Sbornik. 47 (1959) 271-306
-
(1959)
Math. USSR, Sbornik.
, vol.47
, pp. 271-306
-
-
Godunov, S.K.1
-
30
-
-
10244232990
-
An HLLC-type approximate Riemann solver for ideal magnetohydrodynamics
-
Gurski K.F. An HLLC-type approximate Riemann solver for ideal magnetohydrodynamics. SIAM J. Sci. Comput. 25 (2004) 2165
-
(2004)
SIAM J. Sci. Comput.
, vol.25
, pp. 2165
-
-
Gurski, K.F.1
-
31
-
-
0000876320
-
On upstream differencing and Godunov-type schemes for hyperbolic conservation laws
-
Harten A., Lax P.D., and van Leer B. On upstream differencing and Godunov-type schemes for hyperbolic conservation laws. SIAM Rev. 25 (1983) 289-315
-
(1983)
SIAM Rev.
, vol.25
, pp. 289-315
-
-
Harten, A.1
Lax, P.D.2
van Leer, B.3
-
33
-
-
0030161771
-
Efficient implementation of weighted ENO schemes
-
Jiang G.-S., and Shu C.-W. Efficient implementation of weighted ENO schemes. J. Comput. Phys. 126 (1996) 202-228
-
(1996)
J. Comput. Phys.
, vol.126
, pp. 202-228
-
-
Jiang, G.-S.1
Shu, C.-W.2
-
34
-
-
0036288577
-
Semidiscrete central-upwind schemes for hyperbolic conservation laws and Hamilton-Jacobi equations
-
Kurganov A., Noelle S., and Petrova G. Semidiscrete central-upwind schemes for hyperbolic conservation laws and Hamilton-Jacobi equations. SIAM J. Sci. Comput. 23 4 (2001) 707-740
-
(2001)
SIAM J. Sci. Comput.
, vol.23
, Issue.4
, pp. 707-740
-
-
Kurganov, A.1
Noelle, S.2
Petrova, G.3
-
35
-
-
0000308880
-
Wave propagation algorithms for multidimensional hyperbolic systems
-
LeVeque R.J. Wave propagation algorithms for multidimensional hyperbolic systems. J. Comput. Phys. 131 (1997) 327
-
(1997)
J. Comput. Phys.
, vol.131
, pp. 327
-
-
LeVeque, R.J.1
-
36
-
-
1542531258
-
On the divergence-free condition in Godunov-type schemes for ideal magnetohydrodynamics: the upwind constrained transport method
-
Londrillo P., and DelZanna L. On the divergence-free condition in Godunov-type schemes for ideal magnetohydrodynamics: the upwind constrained transport method. J. Comput. Phys. 195 (2004) 17-48
-
(2004)
J. Comput. Phys.
, vol.195
, pp. 17-48
-
-
Londrillo, P.1
DelZanna, L.2
-
37
-
-
19044396045
-
A multi-state HLL approximate Riemann solver for ideal magnetohydrodynamics
-
Miyoshi T., and Kusano K. A multi-state HLL approximate Riemann solver for ideal magnetohydrodynamics. J. Comput. Phys. 208 (2005) 315-344
-
(2005)
J. Comput. Phys.
, vol.208
, pp. 315-344
-
-
Miyoshi, T.1
Kusano, K.2
-
38
-
-
0018286867
-
Small-scale structure of two-dimensional magnetohydrodynamic turbulence
-
Orszag S.A., and Tang C.M. Small-scale structure of two-dimensional magnetohydrodynamic turbulence. J. Fluid Mech. 90 (1979) 129
-
(1979)
J. Fluid Mech.
, vol.90
, pp. 129
-
-
Orszag, S.A.1
Tang, C.M.2
-
39
-
-
84968510942
-
Upwind difference schemes for hyperbolic systems of conservation laws
-
Osher S., and Solomon F. Upwind difference schemes for hyperbolic systems of conservation laws. Math. Comput. 38 158 (1982) 339
-
(1982)
Math. Comput.
, vol.38
, Issue.158
, pp. 339
-
-
Osher, S.1
Solomon, F.2
-
40
-
-
0003731716
-
An approximate Riemann solver for MHD ( that actually works in more than one dimension)
-
No. 94-24, Langley VA
-
K.G. Powell, An approximate Riemann solver for MHD ( that actually works in more than one dimension), ICASE Report No. 94-24, Langley VA, 1994.
-
(1994)
ICASE Report
-
-
Powell, K.G.1
-
41
-
-
2942757053
-
Approximate Riemann solver, parameter vectors and difference schemes
-
Roe P.L. Approximate Riemann solver, parameter vectors and difference schemes. J. Comput. Phys. 43 (1981) 357-372
-
(1981)
J. Comput. Phys.
, vol.43
, pp. 357-372
-
-
Roe, P.L.1
-
42
-
-
46149136471
-
Discrete models for the numerical analysis of time-dependent multidimensional gas dynamics
-
Roe P.L. Discrete models for the numerical analysis of time-dependent multidimensional gas dynamics. J. Comput. Phys. 63 (1986) 458
-
(1986)
J. Comput. Phys.
, vol.63
, pp. 458
-
-
Roe, P.L.1
-
43
-
-
0030087226
-
Notes on the eigensystem of magnetohydrodynamics
-
Roe P.L., and Balsara D.S. Notes on the eigensystem of magnetohydrodynamics. SIAM J. Appl. Math. 56 (1996) 57
-
(1996)
SIAM J. Appl. Math.
, vol.56
, pp. 57
-
-
Roe, P.L.1
Balsara, D.S.2
-
44
-
-
0026965646
-
Optimum positive linear schemes for advection in two and three dimensions
-
Roe P.L., and Sidilkover D. Optimum positive linear schemes for advection in two and three dimensions. SIAM J. Numer. Anal. 29 (1992) 1542-1568
-
(1992)
SIAM J. Numer. Anal.
, vol.29
, pp. 1542-1568
-
-
Roe, P.L.1
Sidilkover, D.2
-
45
-
-
0000514893
-
A multidimensional flux function with application to the Euler and Navier-Stokes equations
-
Rumsey C.B., van Leer B., and Roe P.L. A multidimensional flux function with application to the Euler and Navier-Stokes equations. J. Comput. Phys. 105 (1993) 306
-
(1993)
J. Comput. Phys.
, vol.105
, pp. 306
-
-
Rumsey, C.B.1
van Leer, B.2
Roe, P.L.3
-
46
-
-
0001328401
-
Calculation of interaction of non-steady shock waves with obstacles
-
Rusanov V.V. Calculation of interaction of non-steady shock waves with obstacles. J. Comput. Math. Phys. USSR 1 (1961) 267
-
(1961)
J. Comput. Math. Phys. USSR
, vol.1
, pp. 267
-
-
Rusanov, V.V.1
-
47
-
-
0012381666
-
A divergence-free upwind code for multidimensional magnetohydrodynamic flows
-
Ryu D., Miniati F., Jones T.W., and Frank A. A divergence-free upwind code for multidimensional magnetohydrodynamic flows. Astrophys. J. 509 (1998) 244-255
-
(1998)
Astrophys. J.
, vol.509
, pp. 244-255
-
-
Ryu, D.1
Miniati, F.2
Jones, T.W.3
Frank, A.4
-
48
-
-
0002531306
-
An unsplit 3D upwind method for hyperbolic conservation laws
-
Saltzman J. An unsplit 3D upwind method for hyperbolic conservation laws. J. Comput. Phys. 115 (1994) 153
-
(1994)
J. Comput. Phys.
, vol.115
, pp. 153
-
-
Saltzman, J.1
-
49
-
-
0003332686
-
Numerical solution of the Riemann problem for two-dimensional gas dynamics
-
Schulz-Rinne C.W., Collins J.P., and Glaz H.M. Numerical solution of the Riemann problem for two-dimensional gas dynamics. SIAM J. Sci. Comput. 14 7 (1993) 1394-1414
-
(1993)
SIAM J. Sci. Comput.
, vol.14
, Issue.7
, pp. 1394-1414
-
-
Schulz-Rinne, C.W.1
Collins, J.P.2
Glaz, H.M.3
-
50
-
-
0003122153
-
Restoration of contact surface in the HLL Riemann solver
-
Toro E.F., Spruce M., and Speares W. Restoration of contact surface in the HLL Riemann solver. Shock Waves 4 (1994) 25-34
-
(1994)
Shock Waves
, vol.4
, pp. 25-34
-
-
Toro, E.F.1
Spruce, M.2
Speares, W.3
-
51
-
-
2442433925
-
Toward the ultimate conservative difference scheme: V. A second-order sequel to Godunov's method
-
van Leer B. Toward the ultimate conservative difference scheme: V. A second-order sequel to Godunov's method. J. Comput. Phys. 32 (1979) 101
-
(1979)
J. Comput. Phys.
, vol.32
, pp. 101
-
-
van Leer, B.1
-
52
-
-
0344210452
-
A two-dimensional HLLE Riemann solver and associated Godunov-type difference scheme for gas dynamics
-
Wendroff B. A two-dimensional HLLE Riemann solver and associated Godunov-type difference scheme for gas dynamics. Comput. Math. Appl. 38 (1999) 175-185
-
(1999)
Comput. Math. Appl.
, vol.38
, pp. 175-185
-
-
Wendroff, B.1
-
53
-
-
48749139407
-
The numerical simulation of two-dimensional fluid flow with strong shocks
-
Woodward P., and Colella P. The numerical simulation of two-dimensional fluid flow with strong shocks. J. Comput. Phys. 54 (1984) 115-173
-
(1984)
J. Comput. Phys.
, vol.54
, pp. 115-173
-
-
Woodward, P.1
Colella, P.2
|