-
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 1994, 319:499.
-
(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, I: 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, I: Solution du probleme de Riemann approchè. C.R. Acad. Sci. Ser. I 1994, 319:625.
-
(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. 1998, 116:119.
-
(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. 2001, 174:614-648.
-
(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. 2004, 151:149-184.
-
(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. 2009, 228:5040-5056.
-
(2009)
J. Comput. Phys.
, vol.228
, pp. 5040-5056
-
-
Balsara, D.S.1
-
7
-
-
73649083997
-
Multidimensional HLLE Riemann solver: application to Euler and magnetohydrodynamic flows
-
Balsara D.S. Multidimensional HLLE Riemann solver: application to Euler and magnetohydrodynamic flows. J. Comput. Phys. 2010, 229:1970-1993.
-
(2010)
J. Comput. Phys.
, vol.229
, pp. 1970-1993
-
-
Balsara, D.S.1
-
8
-
-
60149101429
-
Efficient, high accuracy ADER-WENO schemes for hydrodynamics and divergence-free magnetohydrodynamics
-
Balsara D.S., Rumpf T., Dumbser M., Munz C.-D. Efficient, high accuracy ADER-WENO schemes for hydrodynamics and divergence-free magnetohydrodynamics. J. Comput. Phys. 2009, 228:2480-2516.
-
(2009)
J. Comput. Phys.
, vol.228
, pp. 2480-2516
-
-
Balsara, D.S.1
Rumpf, T.2
Dumbser, M.3
Munz, C.-D.4
-
9
-
-
0000897959
-
Monotonicity preserving weighted non-oscillatory schemes with increasingly high order of accuracy
-
Balsara D.S., Shu C.-W. Monotonicity preserving weighted non-oscillatory schemes with increasingly high order of accuracy. J. Comput. Phys. 2000, 160:405-452.
-
(2000)
J. Comput. Phys.
, vol.160
, pp. 405-452
-
-
Balsara, D.S.1
Shu, C.-W.2
-
10
-
-
0001690874
-
A staggered mesh algorithm using high order Godunov fluxes to ensure solenoidal magnetic fields in magnetohydrodynamic simulations
-
Balsara D.S., Spicer D.S. A staggered mesh algorithm using high order Godunov fluxes to ensure solenoidal magnetic fields in magnetohydrodynamic simulations. J. Comput. Phys. 1999, 149:270-292.
-
(1999)
J. Comput. Phys.
, vol.149
, pp. 270-292
-
-
Balsara, D.S.1
Spicer, D.S.2
-
11
-
-
0031261331
-
On the choice of wavespeeds for the HLLC Riemann solver
-
Batten P., Clarke N., Lambert C., Causon D.M. On the choice of wavespeeds for the HLLC Riemann solver. SIAM J. Sci. Comput. 1997, 18:1553-1570.
-
(1997)
SIAM J. Sci. Comput.
, vol.18
, pp. 1553-1570
-
-
Batten, P.1
Clarke, N.2
Lambert, C.3
Causon, D.M.4
-
12
-
-
0030640667
-
On WAF-type schemes for multidimensional hyperbolic conservation laws
-
Billett S.J., Toro E.F. On WAF-type schemes for multidimensional hyperbolic conservation laws. J. Comput. Phys. 1997, 130:1-24.
-
(1997)
J. Comput. Phys.
, vol.130
, pp. 1-24
-
-
Billett, S.J.1
Toro, E.F.2
-
13
-
-
0001689247
-
The effect of nonzero ∇·B on the numerical solution of the magnetohydrodynamic equations
-
Brackbill J.U., Barnes D.C. The effect of nonzero ∇·B on the numerical solution of the magnetohydrodynamic equations. J. Comput. Phys. 1980, 35:426-430.
-
(1980)
J. Comput. Phys.
, vol.35
, pp. 426-430
-
-
Brackbill, J.U.1
Barnes, D.C.2
-
14
-
-
84944835023
-
A simulation study of east-west IMF effects on the magnetosphere
-
Brecht S.H., Lyon J.G., Fedder J.A., Hain K. A simulation study of east-west IMF effects on the magnetosphere. Geophys. Res. Lett. 1981, 8:397.
-
(1981)
Geophys. Res. Lett.
, vol.8
, pp. 397
-
-
Brecht, S.H.1
Lyon, J.G.2
Fedder, J.A.3
Hain, K.4
-
15
-
-
0012926485
-
Two-dimensional Riemann solver for Euler equations of gas dynamics
-
Brio M., Zakharian A.R., Webb G.M. Two-dimensional Riemann solver for Euler equations of gas dynamics. J. Comput. Phys. 2001, 167:177-195.
-
(2001)
J. Comput. Phys.
, vol.167
, pp. 177-195
-
-
Brio, M.1
Zakharian, A.R.2
Webb, G.M.3
-
16
-
-
0031571997
-
Roe matrices for ideal MHD and systematic construction of Roe matrices for systems of conservation laws
-
Cargo P., Gallice G. Roe matrices for ideal MHD and systematic construction of Roe matrices for systems of conservation laws. J. Comput. Phys. 1997, 136:446.
-
(1997)
J. Comput. Phys.
, vol.136
, pp. 446
-
-
Cargo, P.1
Gallice, G.2
-
17
-
-
0001690553
-
The Runge-Kutta discontinuous Galerkin method for conservation laws V
-
Cockburn B., Shu C.-W. The Runge-Kutta discontinuous Galerkin method for conservation laws V. J. Comput. Phys. 1998, 141:199-224.
-
(1998)
J. Comput. Phys.
, vol.141
, pp. 199-224
-
-
Cockburn, B.1
Shu, C.-W.2
-
18
-
-
0000480805
-
A direct Eulerian MUSCL scheme for gas dynamics
-
Colella P. A direct Eulerian MUSCL scheme for gas dynamics. SIAM J. Sci. Statist. Comput. 1985, 6:104.
-
(1985)
SIAM J. Sci. Statist. Comput.
, vol.6
, pp. 104
-
-
Colella, P.1
-
19
-
-
26844455510
-
Multidimensional upwind methods for hyperbolic conservation laws
-
Colella P. Multidimensional upwind methods for hyperbolic conservation laws. J. Comput. Phys. 1990, 87:171.
-
(1990)
J. Comput. Phys.
, vol.87
, pp. 171
-
-
Colella, P.1
-
20
-
-
34547419627
-
The piecewise parabolic method (PPM) for gas-dynamical simulations
-
Colella P., Woodward P.R. The piecewise parabolic method (PPM) for gas-dynamical simulations. J. Comput. Phys. 1984, 54:174-201.
-
(1984)
J. Comput. Phys.
, vol.54
, pp. 174-201
-
-
Colella, P.1
Woodward, P.R.2
-
21
-
-
33645674549
-
On the divergence-free condition and conservation laws in numerical simulations for supersonic magnetohydrodynamic flows
-
Dai W., Woodward P.R. On the divergence-free condition and conservation laws in numerical simulations for supersonic magnetohydrodynamic flows. Astrophys. J. 1998, 494:317-335.
-
(1998)
Astrophys. J.
, vol.494
, pp. 317-335
-
-
Dai, W.1
Woodward, P.R.2
-
22
-
-
0037137996
-
Hyperbolic divergence cleaning for MHD equations
-
Dedner A., Kemm F., Kröener D., Munz C.-D., Schnitzer T., Wesenberg M. Hyperbolic divergence cleaning for MHD equations. J. Comput. Phys. 2002, 175:645-673.
-
(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
-
23
-
-
0001409128
-
Flux-corrected transport techniques for multidimensional compressible magnetohydrodynamics
-
DeVore C.R. Flux-corrected transport techniques for multidimensional compressible magnetohydrodynamics. J. Comput. Phys. 1991, 92:142-160.
-
(1991)
J. Comput. Phys.
, vol.92
, pp. 142-160
-
-
DeVore, C.R.1
-
24
-
-
79958807207
-
On universal Osher-type schemes for general non-linear hyperbolic conservation laws
-
Dumbser M., Toro E.F. On universal Osher-type schemes for general non-linear hyperbolic conservation laws. Commun. Comput. Phys. 2011, 10:635-671.
-
(2011)
Commun. Comput. Phys.
, vol.10
, pp. 635-671
-
-
Dumbser, M.1
Toro, E.F.2
-
25
-
-
0001394094
-
On Godunov-type methods for gas dynamics
-
Einfeldt B. On Godunov-type methods for gas dynamics. SIAM J. Numer. Anal. 1988, 25(3):294-318.
-
(1988)
SIAM J. Numer. Anal.
, vol.25
, Issue.3
, pp. 294-318
-
-
Einfeldt, B.1
-
26
-
-
0000322856
-
On Godunov-type methods near low densities
-
Einfeldt B., Munz C.-D., Roe P.L., Sjogreen B. On Godunov-type methods near low densities. J. Comput. Phys. 1991, 92:273-295.
-
(1991)
J. Comput. Phys.
, vol.92
, pp. 273-295
-
-
Einfeldt, B.1
Munz, C.-D.2
Roe, P.L.3
Sjogreen, B.4
-
27
-
-
0000194504
-
Simulation of magnetohydrodynamic flows: a constrained transport method
-
Evans C.R., Hawley J.F. Simulation of magnetohydrodynamic flows: a constrained transport method. Astrophys. J. 1989, 332:659.
-
(1989)
Astrophys. J.
, vol.332
, pp. 659
-
-
Evans, C.R.1
Hawley, J.F.2
-
28
-
-
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. 1998, 143:159.
-
(1998)
J. Comput. Phys.
, vol.143
, pp. 159
-
-
Fey, M.1
-
29
-
-
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. 1998, 143:181.
-
(1998)
J. Comput. Phys.
, vol.143
, pp. 181
-
-
Fey, M.1
-
30
-
-
17144378992
-
An unsplit Godunov method for ideal MHD via constrained transport
-
Gardiner T., Stone J.M. An unsplit Godunov method for ideal MHD via constrained transport. J. Comput. Phys. 2005, 295:509.
-
(2005)
J. Comput. Phys.
, vol.295
, pp. 509
-
-
Gardiner, T.1
Stone, J.M.2
-
31
-
-
0038737608
-
Multidimensional Riemann problems for linear hyperbolic systems
-
Gilquin H., Laurens J., Rosier C. Multidimensional Riemann problems for linear hyperbolic systems. Not. Numer. Fluid Mech. 1993, 43:284.
-
(1993)
Not. Numer. Fluid Mech.
, vol.43
, pp. 284
-
-
Gilquin, H.1
Laurens, J.2
Rosier, C.3
-
32
-
-
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 1959, 47:271-306.
-
(1959)
Math. USSR Sbornik
, vol.47
, pp. 271-306
-
-
Godunov, S.K.1
-
33
-
-
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. 2004, 25:2165.
-
(2004)
SIAM J. Sci. Comput.
, vol.25
, pp. 2165
-
-
Gurski, K.F.1
-
34
-
-
0000876320
-
On upstream differencing and Godunov-type schemes for hyperbolic conservation laws
-
Harten A., Lax P.D., van Leer B. On upstream differencing and Godunov-type schemes for hyperbolic conservation laws. SIAM Rev. 1983, 25:289-315.
-
(1983)
SIAM Rev.
, vol.25
, pp. 289-315
-
-
Harten, A.1
Lax, P.D.2
van Leer, B.3
-
35
-
-
0030161771
-
Efficient implementation of weighted ENO schemes
-
Jiang G.-S., Shu C.-W. Efficient implementation of weighted ENO schemes. J. Comput. Phys. 1996, 126:202-228.
-
(1996)
J. Comput. Phys.
, vol.126
, pp. 202-228
-
-
Jiang, G.-S.1
Shu, C.-W.2
-
36
-
-
0000308880
-
Wave propagation algorithms for multidimensional hyperbolic systems
-
LeVeque R.J. Wave propagation algorithms for multidimensional hyperbolic systems. J. Comput. Phys. 1997, 131:327.
-
(1997)
J. Comput. Phys.
, vol.131
, pp. 327
-
-
LeVeque, R.J.1
-
37
-
-
10844260061
-
An HLLC Riemann solver for magnetohydrodynamics
-
Li S.-T. An HLLC Riemann solver for magnetohydrodynamics. J. Comput. Phys. 2005, 203:344.
-
(2005)
J. Comput. Phys.
, vol.203
, pp. 344
-
-
Li, S.-T.1
-
38
-
-
1542531258
-
On the divergence-free condition in Godunov-type schemes for ideal magnetohydrodynamics: the upwind constrained transport method
-
Londrillo P., DelZanna L. On the divergence-free condition in Godunov-type schemes for ideal magnetohydrodynamics: the upwind constrained transport method. J. Comput. Phys. 2004, 195:17-48.
-
(2004)
J. Comput. Phys.
, vol.195
, pp. 17-48
-
-
Londrillo, P.1
DelZanna, L.2
-
39
-
-
33646479917
-
An HLLC Riemann solver for relativistic flows - II. Magnetohydrodynamics
-
Mignone A., Bodo G. An HLLC Riemann solver for relativistic flows - II. Magnetohydrodynamics. Mon. Not. R. Astron. Soc 2006, 368:1040.
-
(2006)
Mon. Not. R. Astron. Soc
, vol.368
, pp. 1040
-
-
Mignone, A.1
Bodo, G.2
-
40
-
-
19044396045
-
A multi-state HLL approximate Riemann solver for ideal magnetohydrodynamics
-
Miyoshi T., Kusano K. A multi-state HLL approximate Riemann solver for ideal magnetohydrodynamics. J. Comput. Phys. 2005, 208:315-344.
-
(2005)
J. Comput. Phys.
, vol.208
, pp. 315-344
-
-
Miyoshi, T.1
Kusano, K.2
-
41
-
-
84968510942
-
Upwind difference schemes for hyperbolic systems of conservation laws
-
Osher S., Solomon F. Upwind difference schemes for hyperbolic systems of conservation laws. Math. Comput. 1982, 38(158):339.
-
(1982)
Math. Comput.
, vol.38
, Issue.158
, pp. 339
-
-
Osher, S.1
Solomon, F.2
-
42
-
-
85190084069
-
-
An Approximate Riemann Solver for MHD (that actually works in more than one dimension), ICASE Report 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)
-
-
Powell, K.G.1
-
43
-
-
2942757053
-
Approximate Riemann solver, parameter vectors and difference schemes
-
Roe P.L. Approximate Riemann solver, parameter vectors and difference schemes. J. Comput. Phys. 1981, 43:357-372.
-
(1981)
J. Comput. Phys.
, vol.43
, pp. 357-372
-
-
Roe, P.L.1
-
44
-
-
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. 1986, 63:458.
-
(1986)
J. Comput. Phys.
, vol.63
, pp. 458
-
-
Roe, P.L.1
-
45
-
-
0030087226
-
Notes on the eigensystem of magnetohydrodynamics
-
Roe P.L., Balsara D.S. Notes on the eigensystem of magnetohydrodynamics. SIAM J. Appl. Math. 1996, 56:57.
-
(1996)
SIAM J. Appl. Math.
, vol.56
, pp. 57
-
-
Roe, P.L.1
Balsara, D.S.2
-
46
-
-
0000514893
-
A multidimensional flux function with application to the Euler and Navier-Stokes equations
-
Rumsey C.B., van Leer B., Roe P.L. A multidimensional flux function with application to the Euler and Navier-Stokes equations. J. Comput. Phys. 1993, 105:306.
-
(1993)
J. Comput. Phys.
, vol.105
, pp. 306
-
-
Rumsey, C.B.1
van Leer, B.2
Roe, P.L.3
-
47
-
-
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 1961, 1:267.
-
(1961)
J. Comput. Math. Phys. USSR
, vol.1
, pp. 267
-
-
Rusanov, V.V.1
-
48
-
-
0012381666
-
A divergence-free upwind code for multidimensional magnetohydrodynamic flows
-
Ryu D., Miniati F., Jones T.W., Frank A. A divergence-free upwind code for multidimensional magnetohydrodynamic flows. Astrophys. J. 1998, 509:244-255.
-
(1998)
Astrophys. J.
, vol.509
, pp. 244-255
-
-
Ryu, D.1
Miniati, F.2
Jones, T.W.3
Frank, A.4
-
49
-
-
0002531306
-
An unsplit 3D upwind method for hyperbolic conservation laws
-
Saltzman J. An unsplit 3D upwind method for hyperbolic conservation laws. J. Comput. Phys. 1994, 115:153.
-
(1994)
J. Comput. Phys.
, vol.115
, pp. 153
-
-
Saltzman, J.1
-
50
-
-
0003332686
-
Numerical solution of the Riemann problem for two-dimensional gas dynamics
-
Schulz-Rinne C.W., Collins J.P., Glaz H.M. Numerical solution of the Riemann problem for two-dimensional gas dynamics. SIAM J. Sci. Comput. 1993, 14(7):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
-
51
-
-
0003122153
-
Restoration of contact surface in the HLL Riemann solver
-
Toro E.F., Spruce M., Speares W. Restoration of contact surface in the HLL Riemann solver. Shock Waves 1994, 4:25-34.
-
(1994)
Shock Waves
, vol.4
, pp. 25-34
-
-
Toro, E.F.1
Spruce, M.2
Speares, W.3
-
52
-
-
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. 1979, 32:101.
-
(1979)
J. Comput. Phys.
, vol.32
, pp. 101
-
-
van Leer, B.1
-
53
-
-
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. 1999, 38:175-185.
-
(1999)
Comput. Math. Appl.
, vol.38
, pp. 175-185
-
-
Wendroff, B.1
-
54
-
-
48749139407
-
The numerical simulation of two-dimensional fluid flow with strong shocks
-
Woodward P., Colella P. The numerical simulation of two-dimensional fluid flow with strong shocks. J. Comput. Phys. 1984, 54:115-173.
-
(1984)
J. Comput. Phys.
, vol.54
, pp. 115-173
-
-
Woodward, P.1
Colella, P.2
|