A level set discontinuous Galerkin method for free surface flows
نویسندگان
چکیده
منابع مشابه
A Level Set Discontinuous Galerkin Method for Free Surface Flows
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 levelset. 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 eff...
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 کاملDiscontinuous Galerkin Level Set Method for Interface Capturing
In this paper, we combine a high-order Discontinous Galerkin (DG) method and level set method solving the interface problem in a complex incompressible flow. The scheme is L2 stable and conservative. It improves the mass conservative property of the level set method. Numerical examples demonstrate the high order accuracy of the method and the high resolution especially when the interface underg...
متن کاملA Runge – Kutta discontinuous Galerkin conservative level set method
We present a Runge-Kutta discontinous Galerkin (RKDG) method to solve the level set advection equation arising in the conservative level set method. We show results obtained using the method of manufactured solutions demonstrating k + 1 order accuracy for k-th order Legendre polynomial basis functions. The RKDG conservative level set method yields superior results compared to standard finite di...
متن کاملA quadrature-free discontinuous Galerkin method for the level set equation
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 d...
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: Computer Methods in Applied Mechanics and Engineering
سال: 2006
ISSN: 0045-7825
DOI: 10.1016/j.cma.2005.06.020