Two-Dimension Riemann Initial-Boundary Value Problem of Scalar Conservation Laws with Curved Boundary
نویسندگان
چکیده
منابع مشابه
Well-Balanced Schemes for the Initial Boundary Value Problem for 1D Scalar Conservation Laws
We consider well-balanced numerical schemes for the following 1D scalar conservation law with source term: ∂tu + ∂xf (u) + z ′ (x) b (u) = 0. More precisely, we are interested in the numerical approximation of the initial boundary value problem for this equation. While our main concern is a convergence result, we also have to extend Otto’s notion of entropy solutions to conservation laws with a...
متن کاملExistence result for the coupling problem of two scalar conservation laws with Riemann initial data
This paper is devoted to the coupling problem of two scalar conservation laws through a fixed interface located for instance at x=0. Each scalar conservation law is associated with its own (smooth) flux function and is posed on a half-space, namely x < 0 or x > 0. At interface x = 0 we impose a coupling condition whose objective is to enforce in a weak sense the continuity of a prescribed varia...
متن کاملMixed Initial-Boundary Value Problems for Scalar Conservation Laws: Application to the Modeling of Transportation Networks
This article proves the existence and uniqueness of a weak solution to a scalar conservation law on a bounded domain. A weak formulation of hybrid boundary conditions is needed for the problem to be well posed. The boundary conditions are represented by a hybrid automaton with switches between the modes determined by the direction of characteristics of the system at the boundary. The existence ...
متن کاملEntropy stable schemes for initial-boundary-value conservation laws
We consider initial-boundary-value problems for systems of conservation laws and design entropy stable finite difference schemes to approximate them. The schemes are shown to be entropy stable for a large class of systems that are equipped with a symmetric splitting, derived from the entropy formulation. Numerical examples for the Euler equations of gas dynamics are presented to illustrate the ...
متن کاملNvestigation of a Boundary Layer Problem for Perturbed Cauchy-Riemann Equation with Non-local Boundary Condition
Boundary layer problems (Singular perturbation problems) more have been applied for ordinary differential equations. While this theory for partial differential equations have many applications in several fields of physics and engineering. Because of complexity of limit and boundary behavior of the solutions of partial differential equations these problems considered less than ordinary case. In ...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Boundary Value Problems
سال: 2011
ISSN: 1687-2762,1687-2770
DOI: 10.1155/2011/138396