A quadrature-free discontinuous Galerkin method for the level set equation
نویسندگان
چکیده
A quadrature free, Runge–Kutta discontinuous Galerkin method (QF-RK-DGM) is developed to solve the level set equation written in a conservative form on twoand tri-dimensional unstructured grids. We show that the DGM implementation of the level set approach brings a lot of additional benefits as compared to traditional ENO level set realizations. Some examples of computations are provided that demonstrate the high order of accuracy and the computational efficiency of the method. 2005 Elsevier Inc. All rights reserved.
منابع مشابه
A stabilized finite element method using a discontinuous level set approach for the computation of bubble dynamics
A novel numerical method for solving three-dimensional two phase flow problems is presented. This method combines a quadrature free discontinuous Galerkin method for the level set equation with a pressure stabilized finite element method for the Navier Stokes equations. The main challenge in the computation of such flows is the accurate evaluation of surface tension forces. This involves the co...
متن کاملA Gpu Accelerated Discontinuous Galerkin Approach to Conservative Level Sets
We present a GPU-accelerated, arbitrary-order, nearly quadrature-free, Runge-Kutta (RK) discontinuous Galerkin (DG) approach to interface capturing for atomizing multiphase flows via the conservative level set (CLS) method [3, 4]. An arbitrary-order DG numerical method is utilized for both advection and reinitialization, further developing the ideas of [1] by implementing a quadrature-free appr...
متن کاملElement Free Galerkin Method for Static Analysis of Thin Micro/Nanoscale Plates Based on the Nonlocal Plate Theory
In this article, element free Galerkin method is used for static analysis of thin micro/nanoscale plates based on the nonlocal plate theory. The problem is solved for the plates with arbitrary boundary conditions. Since shape functions of the element free Galerkin method do not satisfy the Kronecker’s delta property, the penalty method is used to impose the essential boundary conditions. Discre...
متن کاملA level set discontinuous Galerkin method for free surface flows q
We present a discontinuous Galerkin method on a fully unstructured grid for the modeling of unsteady incompressible fluid flows with free surfaces. The surface is modeled by embedding and represented by a level set. We discuss the discretization of the flow equations and the level set equation as well a various ways of advancing the equations in time using velocity projection techniques. The ef...
متن کاملA stabilized finite element method using a discontinuous level set approach for solving two phase incompressible flows
A numerical method for the simulation of three-dimensional incompressible twophase flows is presented. The proposed algorithm combines an implicit pressure stabilized finite element method for the solution of incompressible two-phase flow problems with a level set method implemented with a quadrature-free Discontinuous Galerkin (DG) method [1]. The use of a fast contouring algorithm [2] permits...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید
ثبت ناماگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید
ورودعنوان ژورنال:
- J. Comput. Physics
دوره 212 شماره
صفحات -
تاریخ انتشار 2006