A High Order Conservative Semi-Lagrangian Discontinuous Galerkin Method for Two-Dimensional Transport Simulations
نویسندگان
چکیده
منابع مشابه
On the geometric properties of the semi-Lagrangian discontinuous Galerkin scheme for the Vlasov-Poisson equation
The semi-Lagrangian discontinuous Galerkin method, coupled with a splitting approach in time, has recently been introduced for the Vlasov–Poisson equation. Since these methods are conservative, local in space, and able to limit numerical diffusion, they are considered a promising alternative to more traditional semi-Lagrangian schemes. In this paper we study the conservation of important invari...
متن کاملHigh performance computing aspects of a dimension independent semi-Lagrangian discontinuous Galerkin code
The recently developed semi-Lagrangian discontinuous Galerkin approach is used to discretize hyperbolic partial differential equations (usually first order equations). Since these methods are conservative, local in space, and able to limit numerical diffusion, they are considered a promising alternative to more traditional semi-Lagrangian schemes (which are usually based on polynomial or spline...
متن کاملA comparison of semi-Lagrangian discontinuous Galerkin and spline based Vlasov solvers in four dimensions
The purpose of the present paper is to compare two semi-Lagrangian methods in the context of the four-dimensional Vlasov–Poisson equation. More specifically, our goal is to compare the performance of the more recently developed semi-Lagrangian discontinuous Galerkin scheme with the de facto standard in Eulerian Vlasov simulation (i.e. using cubic spline interpolation). To that end, we perform s...
متن کاملHigh-Order Multi-Material ALE Hydrodynamics
We present a new approach for multi-material Arbitrary Lagrangian-Eulerian (ALE) hydrodynamics simulations based on high-order finite elements posed on high-order curvilinear meshes. The method builds on and extends our previous work in the Lagrangian [1] and remap [2] phases of ALE, and depends critically on a functional perspective that enables sub-zonal physics and material modeling [3]. Cur...
متن کاملA Fast Level Set Method with Particle Correction on Adaptive Cartesian Grid
The level set method, devised by Osher and Sethian in 1988, is a powerful approach for tracking moving interfaces and widely used in physics, fluid mechanics, chemistry, combustion, material science, image processing etc. During the past two decades, the level set method has been under significant development. Techniques of solving the level set equation, including high-order essentially non-os...
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. Sci. Comput.
دوره 73 شماره
صفحات -
تاریخ انتشار 2017