A discontinuous Galerkin method for a new class of Green–Naghdi equations on simplicial unstructured meshes

نویسندگان
چکیده

برای دانلود رایگان متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

A discontinuous Galerkin method for a new class of Green-Naghdi equations on simplicial unstructured meshes

In this paper, we introduce a discontinuous Finite Element formulation on simplicial unstructured meshes for the study of free surface flows based on the fully nonlinear and weakly dispersive GreenNaghdi equations. Working with a new class of asymptotically equivalent equations, which have a simplified analytical structure, we consider a decoupling strategy: we approximate the solutions of the ...

متن کامل

Runge-Kutta discontinuous Galerkin method using a new type of WENO limiters on unstructured meshes

In this paper we generalize a new type of limiters based on the weighted essentially nonoscillatory (WENO) finite volume methodology for the Runge-Kutta discontinuous Galerkin (RKDG) methods solving nonlinear hyperbolic conservation laws, which were recently developed in [31] for structured meshes, to two-dimensional unstructured triangular meshes. The key idea of such limiters is to use the en...

متن کامل

A Discontinuous Galerkin Method for the Navier-Stokes Equations on Deforming Domains using Unstructured Moving Space-Time Meshes

We describe a high-order accurate space-time discontinuous Galerkin (DG) method for solving compressible flow problems on two-dimensional moving domains with large deformations. The DG discretization and space-time numerical fluxes are formulated on a three-dimensional space-time domain. The scheme is implicit, and we solve the resulting non-linear systems using a parallel Newton-Krylov solver....

متن کامل

A staggered space-time discontinuous Galerkin method for the three-dimensional incompressible Navier-Stokes equations on unstructured tetrahedral meshes

We propose a novel arbitrary high order accurate semi-implicit space-time discontinuous Galerkin method for the solution of the three-dimensional incompressible Navier-Stokes equations on staggered unstructured curved tetrahedral meshes. The scheme is based on the general ideas proposed in [1] for the two dimensional incompressible Navier-Stokes equations and is then extended to three space dim...

متن کامل

Discontinuous Galerkin methods for Maxwell’s equations in Drude metamaterials on unstructured meshes

In this follow-up work, we extend the discontinuous Galerkin (DG) methods previously developed on rectangular meshes [18] to triangular meshes. The DG schemes in [18] are both optimally convergent and energy conserving. However, as we shall see in the numerical results section, the DG schemes on triangular meshes only have suboptimal convergence rate. We prove the energy conservation and an err...

متن کامل

ذخیره 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: Applied Mathematical Modelling

سال: 2017

ISSN: 0307-904X

DOI: 10.1016/j.apm.2017.01.030