ورقة بحثية
A finite Volume Runge-Kutta Ellam Method for the Solution of Advection Diffusion Equations = طريقة رونج وكوتا ( إيلام ) بالحجوم المحدودة لحل معادلات الإنتقال والإنتشار

Al Lawati, Mohammed.


 

A finite Volume Runge-Kutta Ellam Method for the Solution of Advection Diffusion Equations = طريقة رونج وكوتا ( إيلام ) بالحجوم المحدودة لحل معادلات الإنتقال والإنتشار

Al Lawati, Mohammed.

We develop a finite volume characteristic method for the solution of the advection-diffusion equations which model the contaminant transport through porous medium. This method uses a second order Runge-Kutta approximation for the characteristics within the framework of the Eulerian Lagrangian localized adjoint methods (ELLAM). The derived scheme conserves mass, symmetrizes the governing equations and generates accurate numerical solutions even if large time steps are used. Numerical experiments comparing several competitive methods using a standard test example are presented to illustrate the performance of the method.

We develop a finite volume characteristic method for the solution of the advection-diffusion equations which model the contaminant transport through porous medium. This method uses a second order Runge-Kutta approximation for the characteristics within the framework of the Eulerian Lagrangian locali...

مادة فرعية

المؤلف : Al Lawati, Mohammed.

مؤلف مشارك : Robert C
Wang, Hong

بيانات النشر : Muscat، Sultanate of Oman : Sultan Qaboos Journal of Science، 2001مـ.

التصنيف الموضوعي : العلوم البحتة| .

المواضيع : Maths .

الرياضيات .

رقم الطبعة : 2

المصدر : Sultan Qaboos University : Muscat، Sultanate of Oman.

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