Nonlinear variants of the TR/BDF2 method for thermal radiative diffusion

被引：21

作者：

Edwards, Jarrod D. ^{[1
]}

Morel, Jim E. ^{[1
]}

Knoll, Dana A. ^{[2
]}

机构：

[1] Texas A&M Univ, Dept Nucl Engn, Zachry Engn Ctr 129, College Stn, TX 77843 USA

[2] Los Alamos Natl Lab, Fluid Dynam & Solid Mech Grp T3, Los Alamos, NM 87545 USA

来源：

JOURNAL OF COMPUTATIONAL PHYSICS | 2011年 / 230卷 / 04期

关键词：

Trapezoidal BDF-2; nonlinear radiative diffusion;

D O I：

10.1016/j.jcp.2010.10.035

中图分类号：

TP39 [计算机的应用];

学科分类号：

081203 ; 0835 ;

摘要：

We apply the Trapezoidal/BDF2 (TR/BDF2) temporal discretization scheme to nonlinear grey radiative diffusion. This is a scheme that is not well-known within the radiation transport community, but we show that it offers many desirable characteristics relative to other second-order schemes. Several nonlinear variants of the TR/BDF2 scheme are defined and computationally compared with the Crank-Nicholson scheme. It is found for our test problems that the most accurate TR/BDF2 schemes are those that are fully iterated to nonlinear convergence, but the most efficient TR/BDF2 scheme is one based upon a single Newton iteration. It is also shown that neglecting the contributions to the Jacobian matrix from the cross-sections, which is often done due to a lack of smooth interpolations for tabular cross-section data, has a significant impact upon efficiency. (C) 2010 Elsevier Inc. All rights reserved.

引用

页码：1198 / 1214

页数：17

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