کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
522531 867834 2007 20 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
A modified higher order Godunov’s scheme for stiff source conservative hydrodynamics
موضوعات مرتبط
مهندسی و علوم پایه مهندسی کامپیوتر نرم افزارهای علوم کامپیوتر
پیش نمایش صفحه اول مقاله
A modified higher order Godunov’s scheme for stiff source conservative hydrodynamics
چکیده انگلیسی

We present an efficient second-order accurate scheme to treat stiff source terms within the framework of higher order Godunov’s methods. We employ Duhamel’s formula to devise a modified predictor step which accounts for the effects of stiff source terms on the conservative fluxes and recovers the correct isothermal behavior in the limit of an infinite cooling/reaction rate. Source term effects on the conservative quantities are fully accounted for by means of a one-step, second-order accurate semi-implicit corrector scheme based on the deferred correction method of Dutt et al. We demonstrate the accurate, stable and convergent results of the proposed method through a set of benchmark problems for a variety of stiffness conditions and source types.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Computational Physics - Volume 224, Issue 2, 10 June 2007, Pages 519–538
نویسندگان
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