AN ACCELERATED NODAL DISCONTINUOUS GALERKIN METHOD FOR THERMAL CONVECTION ON UNSTRUCTURED MESHES: FORMULATION AND VALIDATION
نویسندگان
چکیده
We present a GPU-accelerated method for large scale, coupled incompressible fluid flow and heat transfer problems. A high-order, nodal discontinuous Galerkin is utilized to discretize governing equations on unstructured triangular meshes. semi-implicit scheme with explicit treatment of the advective terms implicit split Stokes operators are used time discretization. The pressure system solved conjugate gradient together fully multigrid preconditioner. code built scalable libParanumal solver which library high-performance kernels high-order discretizations. Performance portability achieved by using open concurrent compute abstraction, OCCA. set numerical experiments including free mixed convection problems indicate that our approach experimentally reaches design order accuracy.
منابع مشابه
An entropy stable nodal discontinuous Galerkin method for the two dimensional shallow water equations on unstructured curvilinear meshes with discontinuous bathymetry
We design an arbitrary high order accurate nodal discontinuous Galerkin spectral element approximation for the nonlinear two dimensional shallow water equations with non-constant, possibly discontinuous, bathymetry on unstructured, possibly curved, quadrilateral meshes. The scheme is derived from a skew-symmetric formulation of the continuous problem. We prove that this discretisation exactly p...
متن کاملA 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 کاملRunge-Kutta discontinuous Galerkin method with a simple and compact Hermite WENO limiter on unstructured meshes
In this paper we generalize a new type of compact Hermite weighted essentially nonoscillatory (HWENO) limiter for the Runge-Kutta discontinuous Galerkin (RKDG) methods, which were recently developed in [34] for structured meshes, to two dimensional unstructured triangular meshes. The main idea of this limiter is to reconstruct the new polynomial using the entire polynomials of the DG solution f...
متن کاملA sparse and high-order accurate line-based discontinuous Galerkin method for unstructured meshes
We present a new line-based discontinuous Galerkin (DG) discretization scheme for firstand second-order systems of partial differential equations. The scheme is based on fully unstructured meshes of quadrilateral or hexahedral elements, and it is closely related to the standard nodal DG scheme as well as several of its variants such as the collocation-based DG spectral element method (DGSEM) or...
متن کاملDynamic rupture modeling on unstructured meshes using a discontinuous Galerkin method
[1] We introduce the application of an arbitrary high-order derivative (ADER) discontinuous Galerkin (DG) method to simulate earthquake rupture dynamics. The ADER-DG method uses triangles as computational cells which simplifies the process of discretization of very complex surfaces and volumes by using external automated tools. Discontinuous Galerkin methods are well suited for solving dynamic ...
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: Isi Bilimi Ve Teknigi Dergisi-journal of Thermal Science and Technology
سال: 2022
ISSN: ['1300-3615', '2667-7725']
DOI: https://doi.org/10.47480/isibted.1107459