نتایج جستجو برای: godunov scheme

تعداد نتایج: 222776  

Journal: :J. Comput. Physics 2010
Andrea Mignone Petros Tzeferacos

We assess the validity of a single step Godunov scheme for the solution of the magneto-hydrodynamics equations in more than one dimension. The scheme is second-order accurate and the temporal discretization is based on the dimensionally unsplit Corner Transport Upwind (CTU) method of Colella. The proposed scheme employs a cell-centered representation of the primary fluid variables (including ma...

2012
G. Costeseque

This paper presents a convergent scheme for Hamilton-Jacobi (HJ) equations posed on a junction. The general aim of the approach is to develop a framework using similar tools to the variational principle in traffic theory to model intersections taking in account many incoming and outgoing roads. Then a time-explicit numerical scheme is proposed. It is based on the very classical Godunov scheme. ...

Journal: :J. Sci. Comput. 2006
Alexander Kurganov Guergana Petrova

This paper is concerned with computing viscosity solutions of Hamilton–Jacobi equations using high-order Godunov-type projection-evolution methods. These schemes employ piecewise polynomial reconstructions, and it is a well-known fact that the use of more compressive limiters or higher-order polynomial pieces at the reconstruction step typically provides sharper resolution. We have observed, ho...

2016
Shixin Xu Weiqing Ren

The level set method is one of the most successful methods for the simulation of multi-phase flows. To keep the level set function close the signed distance function, the level set function is constantly reinitialized by solving a Hamilton-Jacobi type of equation during the simulation. When the fluid interface intersects with a solid wall, a moving contact line forms and the reinitialization of...

Journal: :SIAM Journal of Applied Mathematics 2006
Christian E. Schaerer Dan Marchesin Marcus Sarkis P. Bedrikovetsky

Hysteresis effects in two-phase flow in porous media are important in applications such as waterflooding or gas storage in sand aquifers. In this paper, we develop a numerical scheme for such a flow where the permeability hysteresis is modeled by a family of reversible scanning curves enclosed by irreversible imbibition and drainage permeability curves. The scheme is based on associated local R...

2002
Steve Bryson Doron Levy

We present the first fifth-order, semi-discrete central-upwind method for approximating solutions of multi-dimensional Hamilton–Jacobi equations. Unlike most of the commonly used high-order upwind schemes, our scheme is formulated as a Godunov-type scheme. The scheme is based on the fluxes of Kurganov–Tadmor and Kurganov– Noelle–Petrova, and is derived for an arbitrary number of space dimension...

Journal: :Math. Comput. 2016
Emmanuel Audusse François Bouchut Marie-Odile Bristeau Jacques Sainte-Marie

A lot of well-balanced schemes have been proposed for discretizing the classical Saint-Venant system for shallow water flows with non-flat bottom. Among them, the hydrostatic reconstruction scheme is a simple and efficient one. It involves the knowledge of an arbitrary solver for the homogeneous problem (for example Godunov, Roe, kinetic. . . ). If this solver is entropy satisfying, then the hy...

Journal: :SIAM J. Numerical Analysis 2003
Steve Bryson Doron Levy

We present new thirdand fifth-order Godunov-type central schemes for approximating solutions of the Hamilton–Jacobi (HJ) equation in an arbitrary number of space dimensions. These are the first central schemes for approximating solutions of the HJ equations with an order of accuracy that is greater than two. In two space dimensions we present two versions for the third-order scheme: one scheme ...

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