الملخص
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.
الكلمات المفتاحية
بيانات النشر
- المعرّف الرقمي
- 10.24200/squjs.vol6iss2pp67-83
- المجلة
- مجلة جامعة السلطان قابوس للعلوم, 6(2), 67
- الناشر
- جامعة السلطان قابوس
- وصول مفتوح
- وصول مفتوح ذهبي
- الترخيص
- CC BY 4.0
اقتبس هذه المقالة
APA 7
Al-Lawatia, M., Sharpley, R., & Wang, H. (2001). A finite Volume Runge-Kutta Ellam Method for the Solution of Advection Diffusion Equations. Sultan Qaboos University Journal for Science, 6(2), 67. https://doi.org/10.24200/squjs.vol6iss2pp67-83
MLA 9
Al-Lawatia, Mohammed, et al. "A finite Volume Runge-Kutta Ellam Method for the Solution of Advection Diffusion Equations." Sultan Qaboos University Journal for Science, vol. 6, no. 2, 2001, pp. 67. https://doi.org/10.24200/squjs.vol6iss2pp67-83.
شيكاغو (المؤلف–التاريخ)
Al-Lawatia, Mohammed, Robert Sharpley, and Hong Wang. 2001. "A finite Volume Runge-Kutta Ellam Method for the Solution of Advection Diffusion Equations." Sultan Qaboos University Journal for Science 6 (2): 67. https://doi.org/10.24200/squjs.vol6iss2pp67-83.
هارفارد
Al-Lawatia, M., Sharpley, R. and Wang, H. (2001) 'A finite Volume Runge-Kutta Ellam Method for the Solution of Advection Diffusion Equations', Sultan Qaboos University Journal for Science, 6(2), pp. 67. doi:10.24200/squjs.vol6iss2pp67-83.
فانكوفر
Al-Lawatia M, Sharpley R, Wang H. A finite Volume Runge-Kutta Ellam Method for the Solution of Advection Diffusion Equations. Sultan Qaboos University Journal for Science. 2001;6(2):67. doi:10.24200/squjs.vol6iss2pp67-83
IEEE
M. Al-Lawatia, R. Sharpley, and H. Wang, "A finite Volume Runge-Kutta Ellam Method for the Solution of Advection Diffusion Equations," Sultan Qaboos University Journal for Science, vol. 6, no. 2, pp. 67, 2001, doi: 10.24200/squjs.vol6iss2pp67-83.