التفاصيل البيبلوغرافية
| العنوان: |
MOMENTS PRESERVING AND HIGH-RESOLUTION SEMI-LAGRANGIAN ADVECTION SCHEME. |
| المؤلفون: |
BECERRA-SAGREDO, JULIÁN, MÁLAGA, CARLOS, MANDUJANO, FRANCISCO |
| المصدر: |
SIAM Journal on Scientific Computing; 2016, Vol. 38 Issue 4, pA2141-A2161, 21p |
| مصطلحات موضوعية: |
LAGRANGIAN functions, CALCULUS of variations, INTERPOLATION algorithms, MULTIDIMENSIONAL signal processing, ARBITRARY constants |
| مستخلص: |
We present a forward semi-Lagrangian numerical method for systems of transport equations able to advect smooth and discontinuous fields with high-order accuracy. The numerical scheme is composed of an integration of the transport equations along the trajectory of material elements in a moving grid and a reconstruction of the fields in a reference regular mesh using a non-linear mapping and adaptive moment-preserving interpolations. The nonlinear mapping allows for the arbitrary deformation of material elements. Additionally, interpolations can represent discontinuous fields using adaptive-order interpolation near jumps detected with a slope-limiter function. Due to the large number of operations during the interpolations, a serial implementation of this scheme is computationally expensive. The scheme has been accelerated in many-core parallel architectures using a thread per grid node and parallel data gathers. We present a series of tests that show the scheme to be an attractive option for simulating advection equations in multidimensions with high accuracy. [ABSTRACT FROM AUTHOR] |
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| قاعدة البيانات: |
Complementary Index |
