Efficient Radiative Transfer Equation Solver Using the Discontinuous Galerkin Method and the GPU

نویسندگان

  • Xing He
  • Rohit Jain
  • Ramakanth Munipalli
  • Laurent Pilon
چکیده

The radiative transfer equation is an integro-differential equation whose efficient numerical solution requires significant computational resources. In the present study, we seek to unite two powerful techniques in contemporary scientific computing: the discontinuous Galerkin (DG) methods and computation on graphics processing units (GPU) for solving the radiative transfer equation. Significant improvements on numerical accuracy and speedup have been achieved in the present study.

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

ثبت نام

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

A High-Order-Accurate GPU-Based Radiative Transfer Equation Solver for Combustion and Propulsion Applications

In this article we present a high-order-accurate solver for the radiative transfer equation (RTE) which uses the discontinuous Galerkin (DG) method and is designed for graphics processing units (GPUs). The compact nature of the high-order DG method enhances scalability, particularly on GPUs. High-order spatial accuracy can be used to reduce discretization errors on a given computational mesh, a...

متن کامل

Discontinuous Galerkin Methods for the Radiative Transport Equation

This notes presents some recent results regarding the approximation of the linear radiative transfer equation using discontinuous Galerkin methods. The locking effect occurring in the diffusion limit with the upwind numerical flux is investigated and a correction technique is proposed.

متن کامل

Discrete-Ordinate Discontinuous Galerkin Methods for Solving the Radiative Transfer Equation

Abstract. The radiative transfer equation (RTE) occurs in a wide variety of applications. In this paper, we study discrete-ordinate discontinuous Galerkin methods for solving the RTE. The numerical methods are formed in two steps. In the first step, the discrete ordinate technique is applied to discretize the integral operator for the angular variable, resulting in a semi-discrete hyperbolic sy...

متن کامل

Higher Order Continuous and Discontinuous Galerkin Methods for solving combined Conductive and Radiative Heat Transfer

This article deals with a numerical solution of combined radiation and conduction heat transfer in gray participating (non-scattering) medium in a two-dimensional domain using triangular meshes. The radiative transfer equation is solved using the high order Discontinuous Galerkin method with an upwind numerical flux. The energy balance equation is discretized with a high finite order element me...

متن کامل

Analysis of a numerical solver for radiative transport equation

We analyze a numerical algorithm for solving radiative transport equation with vacuum or reflection boundary condition that was proposed in [4] with angular discretization by finite element method and spatial discretization by discontinuous Galerkin or finite difference method.

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

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

ثبت نام

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

عنوان ژورنال:

دوره   شماره 

صفحات  -

تاریخ انتشار 2010