High order ADI method for solving unsteady convection-diffusion problems

Samir Karaa, Jun Zhang*

*المؤلف المقابل لهذا العمل

نتاج البحث: المساهمة في مجلةArticleمراجعة النظراء

183 اقتباسات (Scopus)


We propose a high order alternating direction implicit (ADI) solution method for solving unsteady convection-diffusion problems. The method is fourth order in space and second order in time. It permits multiple use of the one-dimensional tridiagonal algorithm with a considerable saving in computing time, and produces a very efficient solver. It is shown through a discrete Fourier analysis that the method is unconditionally stable for 2D problems. Numerical experiments are conducted to test its high accuracy and to compare it with the standard second-order Peaceman-Rachford ADI method and the spatial third-order compact scheme of Noye and Tan.

اللغة الأصليةEnglish
الصفحات (من إلى)1-9
عدد الصفحات9
دوريةJournal of Computational Physics
مستوى الصوت198
رقم الإصدار1
المعرِّفات الرقمية للأشياء
حالة النشرPublished - يوليو 20 2004

ASJC Scopus subject areas

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