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首页> 外文期刊>Numerical Heat Transfer, Part B. Fundamentals: An International Journal of Computation and Methodology >A pseudospectral method with edge detection-free postprocessing for two-dimensional hyperbolic heat transfer
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A pseudospectral method with edge detection-free postprocessing for two-dimensional hyperbolic heat transfer

机译:二维双曲热传递的无边缘后处理伪谱方法

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摘要

Under the governing equations of hyperbolic heat transfer, thermal disturbances travel with a finite speed of propagation and are visible as sharp discontinuities in the solution profiles. As a result of the well-known Gibbs phenomenon, the numerical solution of hyperbolic heat transfer problems by high-order numerical methods such as pseudospectral methods feature nonphysical numerical oscillations. For pseudospectral methods, postprocessing methods have been developed to lessen or even eliminate the effects of the Gibbs phenomenon. The most powerful postprocessing methods require that the exact location of the discontinuities be known. Because of the reflection and interaction of thermal waves, the solutions of multidimensional hyperbolic heat transfer problems often have very complex features that make accurately locating discontinuities difficult or even impossible. The application of an edge detection-free postprocessing method that is effective for this type of problem is discussed.
机译:在双曲热传递的控制方程下,热扰动以有限的传播速度传播,并在溶液剖面中以尖锐的不连续性可见。由于众所周知的吉布斯(Gibbs)现象,通过高阶数值方法(例如伪谱方法)的双曲热传递问题的数值解具有非物理数值振荡的特征。对于伪光谱方法,已经开发出后处理方法以减轻甚至消除吉布斯现象的影响。最强大的后处理方法要求知道间断的确切位置。由于热波的反射和相互作用,多维双曲线换热问题的解决方案通常具有非常复杂的特征,这些特征使准确定位不连续点变得困难甚至不可能。讨论了对此类问题有效的无边缘检测后处理方法的应用。

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