-
1
-
-
0002677386
-
On essentially non-oscillatory schemes on unstructured meshes: Analysis and implementation
-
R. ABGRALL, On essentially non-oscillatory schemes on unstructured meshes: Analysis and implementation, J. Comput. Phys., 114 (1994), pp. 45-58.
-
(1994)
J. Comput. Phys.
, vol.114
, pp. 45-58
-
-
Abgrall, R.1
-
2
-
-
0004058410
-
Aspects of unstructured grids and finite-volume solvers for the euler and Navier-Stokes equations
-
Advisory Group for Aerospace Research and Development
-
T. J. BARTH, Aspects of Unstructured Grids and Finite-Volume Solvers for the Euler and Navier-Stokes Equations, Tech report 787, Advisory Group for Aerospace Research and Development, 1992.
-
(1992)
Tech Report
, vol.787
-
-
Barth, T.J.1
-
3
-
-
0348061938
-
Higher order solution of the euler equations on unstructured grids using quadratic interpolation
-
Paper 90-0013, American Institute of Aeronautics and Astronautics, Reston, VA
-
T. J. BARTH AND P. O. FREDERICKSON, Higher order solution of the Euler equations on unstructured grids using quadratic interpolation, in Proceedings 5th Computational Fluid Dynamics Conference, Paper 90-0013, American Institute of Aeronautics and Astronautics, Reston, VA, 1990.
-
(1990)
Proceedings 5th Computational Fluid Dynamics Conference
-
-
Barth, T.J.1
Frederickson, P.O.2
-
4
-
-
0000494892
-
Higher order Godunov methods for general systems of hyperbolic conservation laws
-
J. B. BELL, P. COLELLA, AND J. A. TRANGENSTEIN, Higher order Godunov methods for general systems of hyperbolic conservation laws, J. Comput. Phys., 82 (1989), pp. 362-397.
-
(1989)
J. Comput. Phys.
, vol.82
, pp. 362-397
-
-
Bell, J.B.1
Colella, P.2
Trangenstein, J.A.3
-
5
-
-
0021563988
-
Average multivalued solutions for scalar conservation laws
-
Y. BRENIER, Average multivalued solutions for scalar conservation laws. SIAM J. Numer. Anal., 21 (1984), pp. 1013-1037.
-
(1984)
SIAM J. Numer. Anal.
, vol.21
, pp. 1013-1037
-
-
Brenier, Y.1
-
6
-
-
0025446989
-
Characteristic Galerkin methods for scalar conservation laws in one dimension
-
P. N. CHILDS AND K. W. MORTON, Characteristic Galerkin methods for scalar conservation laws in one dimension, SIAM J. Numer. Anal., 27 (1990), pp. 553-594.
-
(1990)
SIAM J. Numer. Anal.
, vol.27
, pp. 553-594
-
-
Childs, P.N.1
Morton, K.W.2
-
7
-
-
0002084927
-
The development of discontinuous galerkin methods
-
Proceedings of First International Symposium on Discontinuous Galerkin Methods, B. Cockburn, G. E. Karniadakis, and C. W. Shu, eds., Springer-Verlag, New York
-
B. COCKBURN, G. E. KARNIADAKIS, AND C. W. SHU, The development of discontinuous Galerkin methods, in Proceedings of First International Symposium on Discontinuous Galerkin Methods, B. Cockburn, G. E. Karniadakis, and C. W. Shu, eds., Lecture Notes in Comput. Sci. Engrg., Springer-Verlag, New York, 2000, pp. 3-50.
-
(2000)
Lecture Notes in Comput. Sci. Engrg.
, pp. 3-50
-
-
Cockburn, B.1
Karniadakis, G.E.2
Shu, C.W.3
-
8
-
-
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 (1984), pp. 174-201.
-
(1984)
J. Comput. Phys.
, vol.54
, pp. 174-201
-
-
Colella, P.1
Woodward, P.R.2
-
9
-
-
0001822084
-
Cell vertex algorithms for the compressible Navier-Stokes equations
-
P. I. CRUMPTON, J. A. MACKENZIE, AND K. W. MORTON, Cell vertex algorithms for the compressible Navier-Stokes equations, J. Comput. Phys., 109 (1993), pp. 1-15.
-
(1993)
J. Comput. Phys.
, vol.109
, pp. 1-15
-
-
Crumpton, P.I.1
Mackenzie, J.A.2
Morton, K.W.3
-
10
-
-
0029294340
-
Eulerian-Lagrangian localised adjoint methods for a nonlinear convection-diffusion equation
-
H. K. DAHLE, R. E. EWING, AND T. F. RUSSELL, Eulerian-Lagrangian localised adjoint methods for a nonlinear convection-diffusion equation, Comput. Methods Appl. Mech. Engrg., 122 (1995), pp. 223-250.
-
(1995)
Comput. Methods Appl. Mech. Engrg.
, vol.122
, pp. 223-250
-
-
Dahle, H.K.1
Ewing, R.E.2
Russell, T.F.3
-
11
-
-
0001674149
-
Simplified second-order Godunov-type methods
-
S. F. DAVIS, Simplified second-order Godunov-type methods, SIAM J. Sci. Stat. Comput., 9 (1988), pp. 445-473.
-
(1988)
SIAM J. Sci. Stat. Comput.
, vol.9
, pp. 445-473
-
-
Davis, S.F.1
-
12
-
-
0346170481
-
-
Ph.D. thesis, University of Oxford, Oxford, UK
-
I. DAWKINS, Development of Practical Evolution Galerkin Algorithms on Unstructured Meshes, Ph.D. thesis, University of Oxford, Oxford, UK, 1997.
-
(1997)
Development of Practical Evolution Galerkin Algorithms on Unstructured Meshes
-
-
Dawkins, I.1
-
13
-
-
0003018067
-
Triangle based adaptive stencils for the solution of hyperbolic conservation laws
-
L. J. DURLOFSKI, B. ENGQUIST, AND S. OSHER, Triangle based adaptive stencils for the solution of hyperbolic conservation laws, J. Comput. Phys., 98 (1992), pp. 64-73.
-
(1992)
J. Comput. Phys.
, vol.98
, pp. 64-73
-
-
Durlofski, L.J.1
Engquist, B.2
Osher, S.3
-
14
-
-
84966208277
-
One-sided difference approximations for nonlinear conservation laws
-
B. ENGQUIST AND S. OSHER, One-sided difference approximations for nonlinear conservation laws. Math. Comp., 36 (1981), pp. 321-352.
-
(1981)
Math. Comp.
, vol.36
, pp. 321-352
-
-
Engquist, B.1
Osher, S.2
-
15
-
-
0000935266
-
A finite difference method for the numerical computation of discontinuous solutions of the equations of fluid dynamics
-
S. K. GODUNOV, A finite difference method for the numerical computation of discontinuous solutions of the equations of fluid dynamics. Mat. Sb., 47 (1959), pp. 271-306.
-
(1959)
Mat. Sb.
, vol.47
, pp. 271-306
-
-
Godunov, S.K.1
-
16
-
-
0000296272
-
A geometric approach to high resolution TVD schemes
-
J. B. GOODMAN AND R. J. LEVEQUE, A geometric approach to high resolution TVD schemes, SIAM J. Numer. Anal., 25 (1988), pp. 268-284.
-
(1988)
SIAM J. Numer. Anal.
, vol.25
, pp. 268-284
-
-
Goodman, J.B.1
LeVeque, R.J.2
-
17
-
-
0343263419
-
Cell-vertex multigrid schemes for solution of the Euler equations
-
K. W. Morton and M. J. Baines, eds., The Clarendon Press, Oxford University Press, New York
-
M. G. HALL, Cell-vertex multigrid schemes for solution of the Euler equations, in Numerical Methods for Fluid Dynamics II, K. W. Morton and M. J. Baines, eds., The Clarendon Press, Oxford University Press, New York, 1985, pp. 303-345.
-
(1985)
Numerical Methods for Fluid Dynamics II
, pp. 303-345
-
-
Hall, M.G.1
-
18
-
-
0021381876
-
On a class of high resolution total-variation-stable finite-difference schemes
-
A. HARTEN, On a class of high resolution total-variation-stable finite-difference schemes, SIAM J. Numer. Anal., 21 (1984), pp. 1-23.
-
(1984)
SIAM J. Numer. Anal.
, vol.21
, pp. 1-23
-
-
Harten, A.1
-
19
-
-
0023329384
-
Uniformly high-order accurate nonoscillatory schemes I
-
A. HARTEN AND S. OSHER, Uniformly high-order accurate nonoscillatory schemes I, SIAM J. Numer. Anal., 24 (1987), pp. 279-309.
-
(1987)
SIAM J. Numer. Anal.
, vol.24
, pp. 279-309
-
-
Harten, A.1
Osher, S.2
-
20
-
-
0003655741
-
Numerical solutions of the Euler equations by finite volume methods with Runge-Kutta time stepping schemes
-
Paper 81-1259, American Institute of Aeronautics and Astronautics, Reston, VA
-
A. JAMESON, W. SCHMIDT, AND E. TURKEL, Numerical solutions of the Euler equations by finite volume methods with Runge-Kutta time stepping schemes, in Proceedings 5th Computational Fluid Dynamics Conference, Paper 81-1259, American Institute of Aeronautics and Astronautics, Reston, VA, 1981.
-
(1981)
Proceedings 5th Computational Fluid Dynamics Conference
-
-
Jameson, A.1
Schmidt, W.2
Turkel, E.3
-
21
-
-
0000238594
-
High-resolution nonoscillatory central schemes with nonstaggered grids for hyperbolic conservation laws
-
G.-S. JIANG, D. LEVY, C.-T. LIN, S. OSHER, AND E. TADMOR, High-resolution nonoscillatory central schemes with nonstaggered grids for hyperbolic conservation laws, SIAM J. Numer. Anal., 35 (1998), pp. 2147-2168.
-
(1998)
SIAM J. Numer. Anal.
, vol.35
, pp. 2147-2168
-
-
Jiang, G.-S.1
Levy, D.2
Lin, C.-T.3
Osher, S.4
Tadmor, E.5
-
22
-
-
0018480361
-
A stable and accurate convective modelling procedure based on quadratic upstream interpolation
-
B. P. LEONARD, A stable and accurate convective modelling procedure based on quadratic upstream interpolation, Comput. Methods Appl. Mech. Engrg., 19 (1979), pp. 59-98.
-
(1979)
Comput. Methods Appl. Mech. Engrg.
, vol.19
, pp. 59-98
-
-
Leonard, B.P.1
-
23
-
-
0026173702
-
The ULTIMATE conservative difference scheme applied to unsteady one-dimensional advection
-
B. P. LEONARD, The ULTIMATE conservative difference scheme applied to unsteady one-dimensional advection, Comput. Methods Appl. Mech. Engrg., 88 (1991), pp. 17-74.
-
(1991)
Comput. Methods Appl. Mech. Engrg.
, vol.88
, pp. 17-74
-
-
Leonard, B.P.1
-
24
-
-
0040100238
-
Numerical solution of the equation of continuity
-
J. J. H. Miller, ed., Academic Press, New York
-
P. LESAINT, Numerical solution of the equation of continuity, in Topics in Numerical Analysis III, J. J. H. Miller, ed., Academic Press, New York, 1977, pp. 199-222.
-
(1977)
Topics in Numerical Analysis
, vol.3
, pp. 199-222
-
-
Lesaint, P.1
-
25
-
-
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
-
26
-
-
0003671760
-
Numerical methods for conservation laws
-
2nd ed., ETH Zürich, Birkhauser, Basel
-
R. J. LEVEQUE, Numerical Methods for Conservation Laws, 2nd ed., Lecture Notes in Mathematics ETH Zürich, Birkhauser, Basel, 1992.
-
(1992)
Lecture Notes in Mathematics
-
-
LeVeque, R.J.1
-
27
-
-
0040693656
-
Euler characteristic Galerkin scheme with recovery
-
P. LIN, K. W. MORTON, AND E. SÜLI, Euler characteristic Galerkin scheme with recovery, RAIRO Modél. Math. Anal. Numér., 27 (1993), pp. 863-894.
-
(1993)
RAIRO Modél. Math. Anal. Numér.
, vol.27
, pp. 863-894
-
-
Lin, P.1
Morton, K.W.2
Süli, E.3
-
28
-
-
0012664092
-
Characteristic Galerkin schemes for scalar conservation laws in two and three space dimensions
-
P. LIN, K. W. MORTON, AND E. SÜLI, Characteristic Galerkin schemes for scalar conservation laws in two and three space dimensions, SIAM J. Numer. Anal., 34 (1997), pp. 779-796.
-
(1997)
SIAM J. Numer. Anal.
, vol.34
, pp. 779-796
-
-
Lin, P.1
Morton, K.W.2
Süli, E.3
-
29
-
-
0034409204
-
Evolution Galerkin methods for hyperbolic systems in two space dimensions
-
M. LUKÁČOVÁ, K. W. MORTON, AND G. WARNECKE, Evolution Galerkin methods for hyperbolic systems in two space dimensions, Math. Comp., 69 (2000), pp. 1355-1384.
-
(2000)
Math. Comp.
, vol.69
, pp. 1355-1384
-
-
Lukáčová, M.1
Morton, K.W.2
Warnecke, G.3
-
31
-
-
0039508443
-
Approximation of multidimensional hyperbolic partial differential equations
-
I. S. Duff and G. A. Watson, eds., The Clarendon Press, Oxford University Press, New York
-
K. W. MORTON, Approximation of multidimensional hyperbolic partial differential equations, in The State of the Art in Numerical Analysis, I. S. Duff and G. A. Watson, eds., The Clarendon Press, Oxford University Press, New York, 1997, pp. 473-502.
-
(1997)
The State of the Art in Numerical Analysis
, pp. 473-502
-
-
Morton, K.W.1
-
32
-
-
0000534145
-
On the analysis of finite volume methods for evolutionary problems
-
K. W. 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.W.1
-
33
-
-
0347478869
-
Characteristic Galerkin methods for hyperbolic systems
-
J. Ballman and R. Jeltsch, eds., Vieweg, Braunschweig
-
K. W. MORTON AND P. N. CHILDS, Characteristic Galerkin methods for hyperbolic systems, in Nonlinear Hyperbolic Equations - Theory, Computation Methods and Applications, J. Ballman and R. Jeltsch, eds., Vieweg, Braunschweig, 1989, pp. 433-455.
-
(1989)
Nonlinear Hyperbolic Equations - Theory, Computation Methods and Applications
, pp. 433-455
-
-
Morton, K.W.1
Childs, P.N.2
-
34
-
-
0001307457
-
Generalised Galerkin methods for first-order hyperbolic equations
-
K. W. MORTON AND A. K. PARROTT, Generalised Galerkin methods for first-order hyperbolic equations, J. Comput. Phys., 36 (1980), pp. 249-270.
-
(1980)
J. Comput. Phys.
, vol.36
, pp. 249-270
-
-
Morton, K.W.1
Parrott, A.K.2
-
35
-
-
0011061429
-
Upwind iteration methods for the cell vertex scheme in one dimension
-
K. W. MORTON, M. A. RUDGYARD, AND G. J. SHAW, Upwind iteration methods for the cell vertex scheme in one dimension, J. Comput. Phys., 114 (1994), pp. 209-226.
-
(1994)
J. Comput. Phys.
, vol.114
, pp. 209-226
-
-
Morton, K.W.1
Rudgyard, M.A.2
Shaw, G.J.3
-
36
-
-
21344494021
-
Discretization of a convection-diffusion equation
-
K. W. MORTON AND I. J. SOBEY, Discretization of a convection-diffusion equation, IMA J. Numer. Anal., 13 (1993), pp. 141-160.
-
(1993)
IMA J. Numer. Anal.
, vol.13
, pp. 141-160
-
-
Morton, K.W.1
Sobey, I.J.2
-
37
-
-
28144455569
-
Non-oscillatory central differencing for hyperbolic conservation laws
-
H. NESSYAHU AND E. TADMOR, Non-oscillatory central differencing for hyperbolic conservation laws, J. Comput. Phys., 87 (1990), pp. 408-463.
-
(1990)
J. Comput. Phys.
, vol.87
, pp. 408-463
-
-
Nessyahu, H.1
Tadmor, E.2
-
38
-
-
0020209106
-
A multiple grid scheme for solving the euler equations
-
R. H. NI, A multiple grid scheme for solving the Euler equations, AIAA J., 20 (1981), pp. 1565-1571.
-
(1981)
AIAA J.
, vol.20
, pp. 1565-1571
-
-
Ni, R.H.1
-
39
-
-
84968510942
-
Upwind difference schemes for hyperbolic systems of conservation laws
-
S. USHER AND F. SOLOMON, Upwind difference schemes for hyperbolic systems of conservation laws. Math. Comp., 38 (1984), pp. 339-374.
-
(1984)
Math. Comp.
, vol.38
, pp. 339-374
-
-
Usher, S.1
Solomon, F.2
-
40
-
-
0040100227
-
-
Ph.D. thesis, Universität Hannover, Hannover, Germany
-
S. OSTKAMP, Multidimensional Characteristic Galerkin Schemes and Evolution Operators for Hyperbolic Systems, Ph.D. thesis, Universität Hannover, Hannover, Germany, 1997.
-
(1997)
Multidimensional Characteristic Galerkin Schemes and Evolution Operators for Hyperbolic Systems
-
-
Ostkamp, S.1
-
41
-
-
21844490594
-
The positive and nearly conservative Lagrange-Galerkin method
-
A. PRIESTLEY, The positive and nearly conservative Lagrange-Galerkin method, IMA J. Numer. Anal., 14 (1994), pp. 277-294.
-
(1994)
IMA J. Numer. Anal.
, vol.14
, pp. 277-294
-
-
Priestley, A.1
-
42
-
-
0001900301
-
Fluctuations and signals - A framework for numerical evolution problems
-
K. W. Morton and M. J. Baines, eds., Academic Press, New York
-
P. L. ROE, Fluctuations and signals - a framework for numerical evolution problems, in Numerical Methods for Fluid Dynamics, K. W. Morton and M. J. Baines, eds., Academic Press, New York, 1982, pp. 219-257.
-
(1982)
Numerical Methods for Fluid Dynamics
, pp. 219-257
-
-
Roe, P.L.1
-
43
-
-
84968481084
-
On multivariate Lagrange interpolation
-
T. SAUER AND Y. XU. On multivariate Lagrange interpolation, Math. Comp., 65 (1995), pp. 1147-1170.
-
(1995)
Math. Comp.
, vol.65
, pp. 1147-1170
-
-
Sauer, T.1
Xu, Y.2
-
44
-
-
0026291228
-
Semi-Lagrangian integration schemes and their application to environmental flows
-
A. STANIFORTH AND J. CÔTÉ, Semi-Lagrangian integration schemes and their application to environmental flows, Monthly Weather Review, 119 (1991), pp. 2206-2223.
-
(1991)
Monthly Weather Review
, vol.119
, pp. 2206-2223
-
-
Staniforth, A.1
Côté, J.2
-
45
-
-
34249988639
-
Towards the ultimate conservative difference scheme II. Monotonicity and conservation combined in a second order scheme
-
B. VAN LEER, Towards the ultimate conservative difference scheme II. Monotonicity and conservation combined in a second order scheme, J. Comput. Phys., 14 (1974), pp. 361-370.
-
(1974)
J. Comput. Phys.
, vol.14
, pp. 361-370
-
-
Van Leer, B.1
-
46
-
-
3142757150
-
Towards the ultimate finite difference scheme III. Upstream-centred finite-difference schemes for ideal compressible flow
-
B. VAN LEER, Towards the ultimate finite difference scheme III. Upstream-centred finite-difference schemes for ideal compressible flow, J. Comput. Phys., 23 (1977), pp. 263-275.
-
(1977)
J. Comput. Phys.
, vol.23
, pp. 263-275
-
-
Van Leer, B.1
-
47
-
-
2442433925
-
Towards the ultimate conservative difference scheme V. A second order sequel to Godunov's method
-
B. VAN LEER, Towards the ultimate conservative difference scheme V. A second order sequel to Godunov's method, J. Comp. Phys., 32 (1979), pp. 101-136.
-
(1979)
J. Comp. Phys.
, vol.32
, pp. 101-136
-
-
Van Leer, B.1
-
48
-
-
0002187037
-
On the relation between the upwind-differencing schemes of Godunov, Enquist-Osher and Roe
-
B. VAN LEER, On the relation between the upwind-differencing schemes of Godunov, Enquist-Osher and Roe, SIAM J. Sci. Stat. Comput., 5 (1984), pp. 1-20.
-
(1984)
SIAM J. Sci. Stat. Comput.
, vol.5
, pp. 1-20
-
-
Van Leer, B.1
-
49
-
-
0015585448
-
Second- and third-order non-centred difference schemes for nonlinear hyperbolic equations
-
R. F. WARMING, P. KUTLER, AND H. LOMAX, Second- and third-order non-centred difference schemes for nonlinear hyperbolic equations, AIAA J., 11 (1973), pp. 189-196.
-
(1973)
AIAA J.
, vol.11
, pp. 189-196
-
-
Warming, R.F.1
Kutler, P.2
Lomax, H.3
|