-
1
-
-
36849141514
-
A method for the numerical calculation of hydrodynamic shocks
-
J. von Neumann and R. D. Richtmyer, A method for the numerical calculation of hydrodynamic shocks, J. Appl. Phys. 21, 232 (1950).
-
(1950)
J. Appl. Phys.
, vol.21
, pp. 232
-
-
Von Neumann, J.1
Richtmyer, R.D.2
-
2
-
-
84966207889
-
Nonlinear filters for efficient shock computation
-
B. Engquist, P. Lötstedt, and B. Sjögreen, Nonlinear filters for efficient shock computation, Math. Comp. 5, 509 (1989).
-
(1989)
Math. Comp.
, vol.5
, pp. 509
-
-
Engquist, B.1
Lötstedt, P.2
Sjögreen, B.3
-
3
-
-
0000935266
-
A finite difference method for the numerical computation of discontinuous solutions of the equations of fluid dynamics
-
S. K. Godunov, A. V. Zabrodin, and G. P. Prokopov, A finite difference method for the numerical computation of discontinuous solutions of the equations of fluid dynamics, Mat. Sb. 47, 357 (1959).
-
(1959)
Mat. Sb.
, vol.47
, pp. 357
-
-
Godunov, S.K.1
Zabrodin, A.V.2
Prokopov, G.P.3
-
4
-
-
2942757053
-
Approximate Riemann solvers, parameter vector, and difference schemes
-
P. L. Roe, Approximate Riemann solvers, parameter vector, and difference schemes, J. Comput. Phys. 43, 357 (1981).
-
(1981)
J. Comput. Phys.
, vol.43
, pp. 357
-
-
Roe, P.L.1
-
5
-
-
0000260916
-
Pseudo-unsteady difference schemes for discontinuous solutions of steady-state, one-dimensional fluid dynamics problems
-
L. C. Huang, Pseudo-unsteady difference schemes for discontinuous solutions of steady-state, one-dimensional fluid dynamics problems, J. Comput. Phys. 42, 195 (1981).
-
(1981)
J. Comput. Phys.
, vol.42
, pp. 195
-
-
Huang, L.C.1
-
6
-
-
40749159424
-
High resolution schemes for hyperbolic conservation laws
-
A. Harten, High resolution schemes for hyperbolic conservation laws, J. Comput. Phys. 49, 357 (1983).
-
(1983)
J. Comput. Phys.
, vol.49
, pp. 357
-
-
Harten, A.1
-
7
-
-
84968510942
-
Upwind difference schemes for hyperbolic systems of conservation laws
-
S. Osher and F. Solomon, Upwind difference schemes for hyperbolic systems of conservation laws, Math. Comp. 38, 339 (1981).
-
(1981)
Math. Comp.
, vol.38
, pp. 339
-
-
Osher, S.1
Solomon, F.2
-
8
-
-
49049151571
-
Flux vector splitting of the inviscid gasdynamic equations with application to finite-difference methods
-
J. L. Steger and R. F. Warming, Flux vector splitting of the inviscid gasdynamic equations with application to finite-difference methods, J. Comput. Phys. 40, 263 (1981).
-
(1981)
J. Comput. Phys.
, vol.40
, pp. 263
-
-
Steger, J.L.1
Warming, R.F.2
-
9
-
-
0002259954
-
A generalized Riemann problem for Quasi-one-dimensional gas flows
-
J. Glimm, G. Marshall, and B. Plohr, A generalized Riemann problem for Quasi-one-dimensional gas flows, Adv. in Appl. Math. 5, 1 (1984).
-
(1984)
Adv. in Appl. Math.
, vol.5
, pp. 1
-
-
Glimm, J.1
Marshall, G.2
Plohr, B.3
-
11
-
-
0000557968
-
Accurate upwind methods for Euler equations
-
H. T. Huynh, Accurate upwind methods for Euler equations, SIAM J. Numer. Anal. 32, No. 5, 2565 (1995).
-
(1995)
SIAM J. Numer. Anal.
, vol.32
, Issue.5
, pp. 2565
-
-
Huynh, H.T.1
-
12
-
-
0030115579
-
Capturing shock reflections: An improved flux formula
-
R. Donat and A. Marquina, Capturing shock reflections: An improved flux formula, J. Comput. Phys. 125, 42 (1996).
-
(1996)
J. Comput. Phys.
, vol.125
, pp. 42
-
-
Donat, R.1
Marquina, A.2
-
13
-
-
0000058544
-
Errors when shock waves interact due to numerical shock width
-
R. Menikoff, Errors when shock waves interact due to numerical shock width, SIAM J. Sci. Statist. Comput. 15, No. 5, 1227 (1994).
-
(1994)
SIAM J. Sci. Statist. Comput.
, vol.15
, Issue.5
, pp. 1227
-
-
Menikoff, R.1
-
14
-
-
45949117604
-
Errors for calculations of strong shocks using an artificial viscosity and an artificial heat flux
-
W. F. Noh, Errors for calculations of strong shocks using an artificial viscosity and an artificial heat flux, J. Comput. Phys. 72, 78 (1987).
-
(1987)
J. Comput. Phys.
, vol.72
, pp. 78
-
-
Noh, W.F.1
-
15
-
-
0027147277
-
A total variation diminishing shock viscosity
-
D. J. Benson and S. Schoenfeld, A total variation diminishing shock viscosity, Comput. Mech. 11, 107 (1993).
-
(1993)
Comput. Mech.
, vol.11
, pp. 107
-
-
Benson, D.J.1
Schoenfeld, S.2
-
17
-
-
34547419627
-
The piecewise parabolic method (PPM) for gas-dynamical simulations
-
P. Colella and P. R. Woodward, The piecewise parabolic method (PPM) for gas-dynamical simulations, J. Comput. Phys. 54, 174 (1984).
-
(1984)
J. Comput. Phys.
, vol.54
, pp. 174
-
-
Colella, P.1
Woodward, P.R.2
-
19
-
-
2942705023
-
A survey of several finite difference methods for systems of nonlinear hyperbolic conservation laws
-
G. A. Sod, A survey of several finite difference methods for systems of nonlinear hyperbolic conservation laws, J. Comput. Phys. 27, 1 (1978).
-
(1978)
J. Comput. Phys.
, vol.27
, pp. 1
-
-
Sod, G.A.1
-
20
-
-
0000942772
-
An approximate linearised Riemann solver for the Euler equations for real gases
-
P. Glaister, An approximate linearised Riemann solver for the Euler equations for real gases, J. Comput. Phys. 74, 382 (1988).
-
(1988)
J. Comput. Phys.
, vol.74
, pp. 382
-
-
Glaister, P.1
-
21
-
-
0028501689
-
Hydrodynamic simulations of bubble collapse and picosecond sonoluminescence
-
W. C. Moss, D. B. Clarke, J. W. White, and D. A. Young, Hydrodynamic simulations of bubble collapse and picosecond sonoluminescence, Phys. Fluids 6, 2979 (1994).
-
(1994)
Phys. Fluids
, vol.6
, pp. 2979
-
-
Moss, W.C.1
Clarke, D.B.2
White, J.W.3
Young, D.A.4
|