Hermite WENO schemes for Hamilton-Jacobi equations on unstructured meshes
نویسندگان
چکیده
Article history: Received 1 November 2012 Received in revised form 16 July 2013 Accepted 23 July 2013 Available online 2 August 2013
منابع مشابه
Finite volume Hermite WENO schemes for solving the Hamilton-Jacobi equations II: Unstructured meshes
Abstract. In this paper, we present a new type of Hermite weighted essentially nonoscillatory (HWENO) schemes for solving the Hamilton-Jacobi equations on the finite volume framework. The cell averages of the function and its first one (in one dimension) or two (in two dimensions) derivative values are together evolved via time approaching and used in the reconstructions. And the major advantag...
متن کاملHermite WENO schemes for Hamilton–Jacobi equations
In this paper, a class of weighted essentially non-oscillatory (WENO) schemes based on Hermite polynomials, termed HWENO (Hermite WENO) schemes, for solving Hamilton–Jacobi equations is presented. The idea of the reconstruction in the HWENO schemes comes from the original WENO schemes, however both the function and its first derivative values are evolved in time and used in the reconstruction, ...
متن کاملHigh-Order WENO Schemes for Hamilton-Jacobi Equations on Triangular Meshes
In this paper we construct high-order weighted essentially nonoscillatory (WENO) schemes for solving the nonlinear Hamilton–Jacobi equations on two-dimensional unstructured meshes. The main ideas are nodal based approximations, the usage of monotone Hamiltonians as building blocks on unstructured meshes, nonlinear weights using smooth indicators of second and higher derivatives, and a strategy ...
متن کاملCentral WENO Schemes for Hamilton-Jacobi Equations on Triangular Meshes
We derive Godunov-type semidiscrete central schemes for Hamilton–Jacobi equations on triangular meshes. High-order schemes are then obtained by combining our new numerical fluxes with high-order WENO reconstructions on triangular meshes. The numerical fluxes are shown to be monotone in certain cases. The accuracy and high-resolution properties of our scheme are demonstrated in a variety of nume...
متن کاملHermite Weno Schemes with Lax-wendroff Type Time Discretizations for Hamilton-jacobi Equations
In this paper, we use Hermite weighted essentially non-oscillatory (HWENO) schemes with a Lax-Wendroff time discretization procedure, termed HWENO-LW schemes, to solve Hamilton-Jacobi equations. The idea of the reconstruction in the HWENO schemes comes from the original WENO schemes, however both the function and its first derivative values are evolved in time and are used in the reconstruction...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
عنوان ژورنال:
- J. Comput. Physics
دوره 254 شماره
صفحات -
تاریخ انتشار 2013