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<p>An asymptotic-preserving (AP) implicit-explicit <InlineEquation ID="IEq3"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="10915_2025_2884_Article_IEq3.gif" Format="GIF" Height="16" Rendition="HTML" Resolution="72" Type="Linedraw" Width="24" /> </InlineMediaObject> <EquationSource Format="TEX">\(P_N\)</EquationSource> <EquationSource Format="MATHML"><math> <msub> <mi>P</mi> <mi>N</mi> </msub> </math></EquationSource> </InlineEquation> numerical scheme is proposed for the gray model of the radiative transfer equation, where the first- and second-order numerical schemes are discussed for both the linear and nonlinear models. The AP property of this numerical scheme is proved theoretically and numerically, while the numerical stability of the linear model is verified by Fourier analysis. Several classical benchmark examples are studied to validate the efficiency of this numerical scheme.</p>

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An Asymptotic-Preserving IMEX \(P_N\) Method for the Gray Model of the Radiative Transfer Equation

  • 期刊论文

  • 发表日期：

    2025年4月10日

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  • Jinxue Fu,
  • Juan Cheng,
  • Weiming Li,
  • Tao Xiong,
  • Yanli Wang

摘要

An asymptotic-preserving (AP) implicit-explicit \(P_N\) P N numerical scheme is proposed for the gray model of the radiative transfer equation, where the first- and second-order numerical schemes are discussed for both the linear and nonlinear models. The AP property of this numerical scheme is proved theoretically and numerically, while the numerical stability of the linear model is verified by Fourier analysis. Several classical benchmark examples are studied to validate the efficiency of this numerical scheme.