Zobrazeno 1 - 10
of 154
pro vyhledávání: '"Godunov's theorem"'
Autor:
A. I. Lobanov
Publikováno v:
Computational Mathematics and Mathematical Physics. 58:827-839
Using properties of the difference schemes approximating a one-dimensional transport equation as an example, it is shown that optimization of the properties of difference schemes based on the analysis in the space of undetermined coefficients and opt
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::b86d9563faae21cc77f09ba82d109746
https://doi.org/10.1134/s0965542518060088
https://doi.org/10.1134/s0965542518060088
Autor:
Shu-ichiro Inutsuka, Keisuke Sugiura
Publikováno v:
Journal of Computational Physics. 333:78-103
Godunov Smoothed Particle Hydrodynamics (Godunov SPH) method is a computational fluid dynamics method that utilizes a Riemann solver and achieves the second-order accuracy in space. In this paper, we extend the Godunov SPH method to elastic dynamics
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::6cf7182a9baad22f0b2618be4ebedc6c
https://doi.org/10.1016/j.jcp.2016.12.026
https://doi.org/10.1016/j.jcp.2016.12.026
Publikováno v:
ESAIM: Proceedings and Surveys, Vol 58, Pp 1-26 (2017)
We propose a method to explain the behaviour of the Godunov finite volume scheme applied to the linear wave equation with Coriolis source term at low Froude number. In particular, we use the Hodge decomposition and we study the properties of the modi
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::b15817dc693f2487f00534321602c89d
https://doaj.org/article/f6d2f16fad864393b11e1557192ac7ac
https://doaj.org/article/f6d2f16fad864393b11e1557192ac7ac
Autor:
V. S. Surov
Publikováno v:
Journal of Engineering Physics and Thermophysics. 89:1227-1240
Computational formulas of the Godunov method are given for the equations of a generalized-equilibrium model of a heterogeneous medium on a curvilinear grid; with the use of this method, the problems of interaction of air shock waves with bubbles of v
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::0655a6e39d4738e216b9409c750aa38e
https://doi.org/10.1007/s10891-016-1486-5
https://doi.org/10.1007/s10891-016-1486-5
Publikováno v:
Mathematical Models and Computer Simulations. 8:548-556
The classical Godunov scheme for the numerical solution of 3D gas dynamics equations is justified in the multidimensional case. An estimate is obtained for the error induced by replacing the exact solution of the multidimensional discontinuity breaku
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::b21ca43c12760062709d112a2ca987d2
https://doi.org/10.1134/s2070048216050124
https://doi.org/10.1134/s2070048216050124
Autor:
Keisuke Sugiura, Shu-ichiro Inutsuka
Publikováno v:
Journal of Computational Physics. 308:171-197
The modification of Smoothed Particle Hydrodynamics (SPH) method with Riemann Solver is called Godunov SPH. We further extend the Godunov SPH to the description of a medium with negative pressure. Under certain circumstances, the SPH method shows an
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::b1924002f6eff388a052f54a374e231f
https://doi.org/10.1016/j.jcp.2015.12.030
https://doi.org/10.1016/j.jcp.2015.12.030
Autor:
Pedro Velarde, Alfonso Barbas
Publikováno v:
Journal of Computational Physics. 300:186-201
In this paper we present a second order 3D method for Maxwell's equations based on a Godunov scheme with Adaptive Mesh Refinement (AMR). In order to achieve it, we apply a limiter which better preserves extrema and boundary conditions based on a char
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::e67b91c0615613d0945aaa6fea4eafd0
https://doi.org/10.1016/j.jcp.2015.07.048
https://doi.org/10.1016/j.jcp.2015.07.048
Autor:
M. E. Ladonkina, V. F. Tishkin
Publikováno v:
Differential Equations. 51:895-903
We show that the schemes of the Galerkin discontinuous method can be treated as a generalization of the Godunov method to piecewise polynomial functions. Using the problem on the interaction of a shock wave with an entropy perturbation as an example,
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::a53d65d855febc7e5ca452bdabdf2a81
https://doi.org/10.1134/s0012266115070083
https://doi.org/10.1134/s0012266115070083
Autor:
V. S. Surov
Publikováno v:
Journal of Engineering Physics and Thermophysics. 88:652-660
For a hyperbolic model of a one-velocity viscous heat-conducting mixture, a modifi ed Godunov method with approximate Riemann solvers is developed. Using this method, we studied wave processes in frothing and bubble media. It is shown that the fl ow
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::317e072d7b3dc6ddbfe8806640d25ae6
https://doi.org/10.1007/s10891-015-1233-3
https://doi.org/10.1007/s10891-015-1233-3
Publikováno v:
Journal of Hydraulic Engineering. 143
Although derived from the principles of conservation of mass and momentum, the water-hammer equations integrating dynamic friction are almost never expressed in conservative form. This is b...
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::ee0a49bde65e7d9debe6ef199425b353
https://doi.org/10.1061/(asce)hy.1943-7900.0001333
https://doi.org/10.1061/(asce)hy.1943-7900.0001333