A Space-Time Hybridizable Discontinuous Galerkin Method for Linear Free-Surface Waves
نویسندگان
چکیده
منابع مشابه
Discontinuous Galerkin Method for Linear Free-Surface Gravity Waves
• Weak formulation: – Involves a typical primal DG formulation for the Laplace equation (see Arnold et al. (2002)). – Adopt the numerical flux proposed by Brezzi et al. (1999). – Second order accurate time discretization is used for the time derivative in the free surface boundary condition (Van der Vegt and Tomar (2005)). • Finite element discretization results in a symmetric and positive defi...
متن کاملA hybridizable discontinuous Galerkin method for time-harmonic Maxwell’s equations
In this paper, we study a bybridizable discontinuous Galerkin (HDG) method for the numerical solution of 2D time-harmonic Maxwell’s equations. The formulations are given, and the relationship between the HDG scheme and the upwind flux DG method is also examined. The presented numerical results show the effectiveness of the proposed HDG method especially in comparison to the upwind flux DG metho...
متن کاملHybridizable discontinuous Galerkin method for curved domains
In this work we present a technique to numerically solve partial differential equations (PDE’s) defined in general domains Ω. It basically consists in approximating the domain Ω by polyhedral subdomains Dh and suitably defining extensions of the solution from Dh to Ω. More precisely, we solve the PDE in Dh by using a numerical method for polyhedral domains. In order to do that, the boundary con...
متن کاملSpace-time discontinuous Galerkin method for nonlinear water waves
1 Tankers moored at an oil production center.
متن کاملVariational Space-time (Dis)continuous Galerkin Method for Linear Free Surface Waves
A new variational (dis)continuous Galerkin finite element method is presented for linear free surface gravity water wave equations. In this method, the space-time finite element discretization is based on a discrete variational formulation analogous to a version of Luke’s variational principle. The finite element discretization results into a linear algebraic system of equations with a symmetri...
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: Journal of Scientific Computing
سال: 2020
ISSN: 0885-7474,1573-7691
DOI: 10.1007/s10915-020-01340-8