Solution of advection diffusion equations in two space dimensions by a rational Eulerian Lagrangian localized adjoint method over hexagonal grids

Mohamed Al-Lawatia*

*المؤلف المقابل لهذا العمل

نتاج البحث: المساهمة في مجلةمقالمراجعة النظراء

2 اقتباسات (Scopus)

ملخص

We present a characteristic method for the solution of the transient advection diffusion equations in two space-dimensions. This method uses Wachspress-type rational basis functions over hexagonal grids within the framework of the Eulerian Lagrangian localized adjoint methods (ELLAM). It therefore maintains the advantages of previous ELLAM schemes and generates accurate numerical solutions even if large time steps are used in the simulation. Numerical experiments are presented to illustrate the performance of this method and to investigate its convergence numerically.

اللغة الأصليةEnglish
الصفحات (من إلى)43-55
عدد الصفحات13
دوريةInternational Journal of Numerical Analysis and Modeling
مستوى الصوت9
رقم الإصدار1
حالة النشرPublished - 2012

ASJC Scopus subject areas

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