Second-order characteristic methods for advection-diffusion equations and comparison to other schemes

Mohamed Al-Lawatia*, Robert C. Sharpley, Hong Wang

*المؤلف المقابل لهذا العمل

نتاج البحث: المساهمة في مجلةمراجعة النظراء

32 اقتباسات (Scopus)

ملخص

We develop two characteristic methods for the solution of the linear advection diffusion equations which use a second order Runge-Kutta approximation of the characteristics within the framework of the Eulerian-Lagrangian localized adjoint method. These methods naturally incorporate all three types of boundary conditions in their formulations, are fully mass conservative, and generate regularly structured systems which are symmetric and positive definite for most combinations of the boundary conditions. Extensive numerical experiments are presented which compare the performance of these two Runge-Kutta methods to many other well perceived and widely used methods which include many Galerkin methods and high resolution methods from fluid dynamics.

اللغة الأصليةEnglish
الصفحات (من إلى)741-768
عدد الصفحات28
دوريةAdvances in Water Resources
مستوى الصوت22
رقم الإصدار7
المعرِّفات الرقمية للأشياء
حالة النشرPublished - أبريل 30 1999

ASJC Scopus subject areas

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