-
1
-
-
34547419627
-
The piecewise parabolic method for gas-dynamical simulations
-
Colella P., and Woodward P. The piecewise parabolic method for gas-dynamical simulations. J. Comput. Phys. 54 (1984) 174
-
(1984)
J. Comput. Phys.
, vol.54
, pp. 174
-
-
Colella, P.1
Woodward, P.2
-
2
-
-
84966246413
-
TVB Runge-Kutta local projection discontinuous Galerkin finite element method for conservation laws II: general framework
-
Cockburn B., and Shu C.W. TVB Runge-Kutta local projection discontinuous Galerkin finite element method for conservation laws II: general framework. Math. Comput. 52 (1989) 411
-
(1989)
Math. Comput.
, vol.52
, pp. 411
-
-
Cockburn, B.1
Shu, C.W.2
-
3
-
-
45249130080
-
TVB Runge-Kutta local projection discontinuous Galerkin finite element method for conservation laws III: one-dimensional systems
-
Cockburn B., Lin S.Y., and Shu C.W. TVB Runge-Kutta local projection discontinuous Galerkin finite element method for conservation laws III: one-dimensional systems. J. Comput. Phys. 84 (1989) 90
-
(1989)
J. Comput. Phys.
, vol.84
, pp. 90
-
-
Cockburn, B.1
Lin, S.Y.2
Shu, C.W.3
-
4
-
-
84966261380
-
TVB Runge-Kutta local projection discontinuous Galerkin finite element method for conservation laws IV: the multidimensional case
-
Cockburn B., Hou S., and Shu C.W. TVB Runge-Kutta local projection discontinuous Galerkin finite element method for conservation laws IV: the multidimensional case. Math. Comput. 54 (1990) 545
-
(1990)
Math. Comput.
, vol.54
, pp. 545
-
-
Cockburn, B.1
Hou, S.2
Shu, C.W.3
-
5
-
-
0001690553
-
The Runge-Kutta discontinuous Galerkin method for conservation laws V: the multidimensional systems
-
Cockburn B., and Shu C.W. The Runge-Kutta discontinuous Galerkin method for conservation laws V: the multidimensional systems. J. Comput. Phys. 141 (1998) 199
-
(1998)
J. Comput. Phys.
, vol.141
, pp. 199
-
-
Cockburn, B.1
Shu, C.W.2
-
6
-
-
40749159424
-
High resolution schemes for hyperbolic conservation laws
-
Harten A. High resolution schemes for hyperbolic conservation laws. J. Comput. Phys. 49 (1983) 357
-
(1983)
J. Comput. Phys.
, vol.49
, pp. 357
-
-
Harten, A.1
-
7
-
-
33749725182
-
Uniformly high order essentially nonoscillatory schemes, III
-
Harten A., Engquist B., Osher S., and Chakravarthy S. Uniformly high order essentially nonoscillatory schemes, III. J. Comput. Phys. 71 (1987) 231
-
(1987)
J. Comput. Phys.
, vol.71
, pp. 231
-
-
Harten, A.1
Engquist, B.2
Osher, S.3
Chakravarthy, S.4
-
8
-
-
27744564629
-
A 4th-order and single-cell-based advection scheme on unstructured grids using multi-moments
-
Ii S., Shimuta M., and Xiao F. A 4th-order and single-cell-based advection scheme on unstructured grids using multi-moments. Comput. Phys. Comm. 173 (2005) 17
-
(2005)
Comput. Phys. Comm.
, vol.173
, pp. 17
-
-
Ii, S.1
Shimuta, M.2
Xiao, F.3
-
9
-
-
0030161771
-
Efficient implementation of weighted ENO schemes
-
Jiang G., and Shu C.W. Efficient implementation of weighted ENO schemes. J. Comput. Phys. 126 (1996) 202
-
(1996)
J. Comput. Phys.
, vol.126
, pp. 202
-
-
Jiang, G.1
Shu, C.W.2
-
10
-
-
84980078953
-
Weak solutions of nonlinear hyperbolic equations and their numerical computation
-
Lax P.D. Weak solutions of nonlinear hyperbolic equations and their numerical computation. Commun. Pure Appl. Math. 7 (1954) 159
-
(1954)
Commun. Pure Appl. Math.
, vol.7
, pp. 159
-
-
Lax, P.D.1
-
11
-
-
0000592595
-
Weighted essentially non-oscillatory schemes
-
Liu X.D., Osher S., and Chan T. Weighted essentially non-oscillatory schemes. J. Comput. Phys. 115 (1994) 200
-
(1994)
J. Comput. Phys.
, vol.115
, pp. 200
-
-
Liu, X.D.1
Osher, S.2
Chan, T.3
-
12
-
-
0344981340
-
Hermite WENO schemes and their application as limiters for Runge-Kutta discontinuous Galerkin method: one-dimensional case
-
Qiu J., and Shu C.W. Hermite WENO schemes and their application as limiters for Runge-Kutta discontinuous Galerkin method: one-dimensional case. J. Comput. Phys. 193 (2003) 115
-
(2003)
J. Comput. Phys.
, vol.193
, pp. 115
-
-
Qiu, J.1
Shu, C.W.2
-
13
-
-
2942757053
-
Approximate Riemann solvers, parameter vectors, and difference schemes
-
Roe P.L. Approximate Riemann solvers, parameter vectors, and difference schemes. J. Comput. Phys. 43 (1981) 357
-
(1981)
J. Comput. Phys.
, vol.43
, pp. 357
-
-
Roe, P.L.1
-
14
-
-
84966199917
-
A third-order accurate variation nonexpansive difference scheme for single nonlinear conservation laws
-
Sanders R. A third-order accurate variation nonexpansive difference scheme for single nonlinear conservation laws. Math. Comput. 51 (1988) 535
-
(1988)
Math. Comput.
, vol.51
, pp. 535
-
-
Sanders, R.1
-
15
-
-
84966251037
-
TVB uniformly high-order schemes for conservation laws
-
Shu C.W. TVB uniformly high-order schemes for conservation laws. Math. Comput. 49 (1987) 105
-
(1987)
Math. Comput.
, vol.49
, pp. 105
-
-
Shu, C.W.1
-
16
-
-
0000564951
-
Total-variation-diminishing time discretizations
-
Shu C.W. Total-variation-diminishing time discretizations. SIAM J. Sci. Stat. Comput. 9 (1988) 1073
-
(1988)
SIAM J. Sci. Stat. Comput.
, vol.9
, pp. 1073
-
-
Shu, C.W.1
-
17
-
-
45449125925
-
Efficient implementation of essentially non-oscillatory shock capturing schemes
-
Shu C.W., and Osher S. Efficient implementation of essentially non-oscillatory shock capturing schemes. J. Comput. Phys. 77 (1988) 439
-
(1988)
J. Comput. Phys.
, vol.77
, pp. 439
-
-
Shu, C.W.1
Osher, S.2
-
18
-
-
0001568854
-
Efficient implementation of essentially non-oscillatory shock capturing schemes, II
-
Shu C.W., and Osher S. Efficient implementation of essentially non-oscillatory shock capturing schemes, II. J. Comput. Phys. 83 (1989) 32
-
(1989)
J. Comput. Phys.
, vol.83
, pp. 32
-
-
Shu, C.W.1
Osher, S.2
-
19
-
-
2942705023
-
A survey of several finite difference methods for systems of non-linear conservation laws
-
Sod G. A survey of several finite difference methods for systems of non-linear conservation laws. J. Comput. Phys. 27 (1978) 1
-
(1978)
J. Comput. Phys.
, vol.27
, pp. 1
-
-
Sod, G.1
-
20
-
-
0034635945
-
Constructing exactly conservative scheme in a non-conservative form
-
Tanaka R., Nakamura T., and Yabe T. Constructing exactly conservative scheme in a non-conservative form. Comput. Phys. Commun. 126 (2000) 232
-
(2000)
Comput. Phys. Commun.
, vol.126
, pp. 232
-
-
Tanaka, R.1
Nakamura, T.2
Yabe, T.3
-
21
-
-
2442433925
-
Towards the ultimate conservative difference scheme. V. A second order sequel to Godunov's method
-
van Leer B. Towards 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
-
22
-
-
0020223604
-
Flux-vector splitting for the Euler equations
-
van Leer B. Flux-vector splitting for the Euler equations. Lecture Notes Phys. 170 (1982) 507
-
(1982)
Lecture Notes Phys.
, vol.170
, pp. 507
-
-
van Leer, B.1
-
23
-
-
0036570604
-
Spectral (finite) volume method for conservation laws on unstructured grids: basic formulation
-
Wang Z.J. Spectral (finite) volume method for conservation laws on unstructured grids: basic formulation. J. Comput. Phys. 178 (2002) 210
-
(2002)
J. Comput. Phys.
, vol.178
, pp. 210
-
-
Wang, Z.J.1
-
24
-
-
0036647456
-
Spectral (finite) volume method for conservation laws on unstructured grids II: extension to two-dimensional scalar equation
-
Wang Z.J., and Liu Y. Spectral (finite) volume method for conservation laws on unstructured grids II: extension to two-dimensional scalar equation. J. Comput. Phys. 179 (2002) 665
-
(2002)
J. Comput. Phys.
, vol.179
, pp. 665
-
-
Wang, Z.J.1
Liu, Y.2
-
25
-
-
0347300259
-
Spectral (finite) volume method for conservation laws on unstructured grids III: one-dimensional systems and partition optimization
-
Wang Z.J., and Liu Y. Spectral (finite) volume method for conservation laws on unstructured grids III: one-dimensional systems and partition optimization. J. Sci. Comput. 20 (2004) 137
-
(2004)
J. Sci. Comput.
, vol.20
, pp. 137
-
-
Wang, Z.J.1
Liu, Y.2
-
26
-
-
1442307691
-
Spectral (finite) volume method for conservation laws on unstructured grids IV: extension to two-dimensional systems
-
Wang Z.J., Liu Y., and Zhang L. Spectral (finite) volume method for conservation laws on unstructured grids IV: extension to two-dimensional systems. J. Comput. Phys. 194 (2004) 716
-
(2004)
J. Comput. Phys.
, vol.194
, pp. 716
-
-
Wang, Z.J.1
Liu, Y.2
Zhang, L.3
-
27
-
-
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
-
(1984)
J. Comput. Phys.
, vol.54
, pp. 115
-
-
Woodward, P.1
Colella, P.2
-
28
-
-
0037655394
-
Completely conservative and oscillation-less semi-Lagrangian schemes for advection transportation
-
Xiao F., and Yabe T. Completely conservative and oscillation-less semi-Lagrangian schemes for advection transportation. J. Comput. Phys. 170 (2001) 498
-
(2001)
J. Comput. Phys.
, vol.170
, pp. 498
-
-
Xiao, F.1
Yabe, T.2
-
29
-
-
36448972734
-
Conservative and oscillation-less atmospheric transport schemes based on rational functions
-
Xiao F., Yabe T., Peng X., and Kobayashi H. Conservative and oscillation-less atmospheric transport schemes based on rational functions. J. Geophys. Res. 107 (2002) 4609
-
(2002)
J. Geophys. Res.
, vol.107
, pp. 4609
-
-
Xiao, F.1
Yabe, T.2
Peng, X.3
Kobayashi, H.4
-
30
-
-
1842767568
-
Profile-modifiable conservative transport schemes and a simple multi integrated moment formulation for hydrodynamics
-
Armfield S., Morgan P., and Srinivas K. (Eds), Springer
-
Xiao F. Profile-modifiable conservative transport schemes and a simple multi integrated moment formulation for hydrodynamics. In: Armfield S., Morgan P., and Srinivas K. (Eds). Computational Fluid Dynamics 2002 (2003), Springer 106
-
(2003)
Computational Fluid Dynamics 2002
, pp. 106
-
-
Xiao, F.1
-
31
-
-
0038476552
-
An efficient method for capturing free boundary in multi-fluid simulations
-
Xiao F., and Ikebata A. An efficient method for capturing free boundary in multi-fluid simulations. Int. J. Numer. Method Fluid 42 (2003) 187
-
(2003)
Int. J. Numer. Method Fluid
, vol.42
, pp. 187
-
-
Xiao, F.1
Ikebata, A.2
-
32
-
-
1842632661
-
Unified formulation for compressible and incompressible flows by using multi integrated moment method: one-dimensional inviscid compressible flow
-
Xiao F. Unified formulation for compressible and incompressible flows by using multi integrated moment method: one-dimensional inviscid compressible flow. J. Comput. Phys. 195 (2004) 629
-
(2004)
J. Comput. Phys.
, vol.195
, pp. 629
-
-
Xiao, F.1
-
33
-
-
31744440190
-
Unified formulation for compressible and incompressible flows by using multi-integrated moments II: multi-dimensional version for compressible and incompressible flows
-
Xiao F., Akoh R., and Ii S. Unified formulation for compressible and incompressible flows by using multi-integrated moments II: multi-dimensional version for compressible and incompressible flows. J. Comput. Phys. 213 (2006) 31
-
(2006)
J. Comput. Phys.
, vol.213
, pp. 31
-
-
Xiao, F.1
Akoh, R.2
Ii, S.3
-
34
-
-
13544262423
-
Numerical simulations of free-interface fluids by a multi integrated moment method
-
Xiao F., Ikebata A., and Hasegawa T. Numerical simulations of free-interface fluids by a multi integrated moment method. Comput. Struct. 83 (2005) 409
-
(2005)
Comput. Struct.
, vol.83
, pp. 409
-
-
Xiao, F.1
Ikebata, A.2
Hasegawa, T.3
-
35
-
-
3242888321
-
A convexity preserving scheme for conservative advection transport
-
Xiao F., and Peng X. A convexity preserving scheme for conservative advection transport. J. Comput. Phys. 198 (2004) 389
-
(2004)
J. Comput. Phys.
, vol.198
, pp. 389
-
-
Xiao, F.1
Peng, X.2
-
36
-
-
0026219990
-
A universal solver for hyperbolic-equations by cubic-polynomial interpolation. 1. One-dimensional solver
-
Yabe T., and Aoki T. A universal solver for hyperbolic-equations by cubic-polynomial interpolation. 1. One-dimensional solver. Comput. Phys. Commun. 66 (1991) 219
-
(1991)
Comput. Phys. Commun.
, vol.66
, pp. 219
-
-
Yabe, T.1
Aoki, T.2
-
37
-
-
0035244971
-
Exactly conservative semi-Lagrangian scheme (CIP-CSL) in one dimension
-
Yabe T., Tanaka R., Nakamura T., and Xiao F. Exactly conservative semi-Lagrangian scheme (CIP-CSL) in one dimension. Mon. Weather Rev. 129 (2001) 332
-
(2001)
Mon. Weather Rev.
, vol.129
, pp. 332
-
-
Yabe, T.1
Tanaka, R.2
Nakamura, T.3
Xiao, F.4
-
38
-
-
0001531042
-
The constrained interpolation profile method for multiphase analysis
-
Yabe T., Xiao F., and Utsumi T. The constrained interpolation profile method for multiphase analysis. J. Comput. Phys. 169 (2001) 556
-
(2001)
J. Comput. Phys.
, vol.169
, pp. 556
-
-
Yabe, T.1
Xiao, F.2
Utsumi, T.3
|