Discontinuous Galerkin method for the solution of a transport level-set problem
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 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 کاملsolution of security constrained unit commitment problem by a new multi-objective optimization method
چکیده-پخش بار بهینه به عنوان یکی از ابزار زیر بنایی برای تحلیل سیستم های قدرت پیچیده ،برای مدت طولانی مورد بررسی قرار گرفته است.پخش بار بهینه توابع هدف یک سیستم قدرت از جمله تابع هزینه سوخت ،آلودگی ،تلفات را بهینه می کند،و هم زمان قیود سیستم قدرت را نیز برآورده می کند.در کلی ترین حالتopf یک مساله بهینه سازی غیر خطی ،غیر محدب،مقیاس بزرگ،و ایستا می باشد که می تواند شامل متغیرهای کنترلی پیوسته و گ...
Solving Fluid/Rigid body Interaction Problem by a Discontinuous Galerkin Level Set Method
We consider problems involving high-speed moving rigid objects in a fluid flow. Instead of a more traditional deformable mesh approach, we describe a novel fixed mesh approach which use a level set function to implicitly track the fluid-solid interface, therefore no mesh motion or modification is required. The interface boundary conditions are also captured implicitly by combining a Ghost Fluid...
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: Computers & Mathematics with Applications
سال: 2016
ISSN: 0898-1221
DOI: 10.1016/j.camwa.2016.04.033