Second order fully semi-Lagrangian discretizations of advection-diffusion-reaction systems

التفاصيل البيبلوغرافية
العنوان: Second order fully semi-Lagrangian discretizations of advection-diffusion-reaction systems
المؤلفون: Bonaventura, Luca, Carlini, Elisabetta, Calzola, Elisa, Ferretti, Roberto
سنة النشر: 2020
المجموعة: Computer Science
Mathematics
مصطلحات موضوعية: Mathematics - Numerical Analysis, 35L10, 65M06, 65M25, 65M12
الوصف: We propose a second order, fully semi-Lagrangian method for the numerical solution of systems of advection-diffusion-reaction equations, which employs a semi-Lagrangian approach to approximate in time both the advective and the diffusive terms. Standard interpolation procedures are used for the space discretization on structured and unstructured meshes. The proposed method allows for large time steps, while avoiding the solution of large linear systems, which would be required by an implicit time discretization technique. Numerical experiments demonstrate the effectiveness of the proposed approach and its superior efficiency with respect to more conventional explicit and implicit time discretizations
نوع الوثيقة: Working Paper
URL الوصول: http://arxiv.org/abs/2002.04381
رقم الأكسشن: edsarx.2002.04381
قاعدة البيانات: arXiv