An implicit algorithm for solving time dependent flows on unstructured grids

1997 ◽  
Author(s):  
Robert Tomaro ◽  
William Strang ◽  
Lakshmi Sankar ◽  
Robert Tomaro ◽  
William Strang ◽  
...  
Keyword(s):  
Unstructured Grids ◽  
Time Dependent ◽  
Implicit Algorithm

The Eulerian-Lagrangian Method with Accurate Numerical Integration

2012 ◽  
Vol 4 (2) ◽  
pp. 156-174
Author(s):  
Kun Li
Keyword(s):  
Numerical Integration ◽  
Unstructured Grids ◽  
Lagrangian Method ◽  
Unconditional Stability ◽  
Velocity Fields ◽  
Time Dependent ◽  
Diffusion Equations ◽  
Numerical Examples ◽  
Convection Diffusion ◽  
Integration Techniques

AbstractThis paper is devoted to the study of the Eulerian-Lagrangian method (ELM) for convection-diffusion equations on unstructured grids with or without accurate numerical integration. We first propose an efficient and accurate algorithm to calculate the integrals in the Eulerian-Lagrangian method. Our approach is based on an algorithm for finding the intersection of two non-matching grids. It has optimal algorithmic complexity and runs fast enough to make time-dependent velocity fields feasible. The evaluation of the integrals leads to increased precision and the unconditional stability. We demonstrate by numerical examples that the ELM with our proposed algorithm for accurate numerical integration has the following two features: first it is much more accurate and more stable than the ones with traditional numerical integration techniques and secondly the overall cost of the proposed method is comparable with the traditional ones.

Parallel Sn Sweep Scheduling Algorithm on Unstructured Grids for Multigroup Time-Dependent Particle Transport Equations

2016 ◽  
Vol 184 (4) ◽  
pp. 527-536 ◽  
Author(s):  
Jie Liu ◽  
Chi Lihua ◽  
Wang Qing Lin ◽  
Gong Chunye ◽  
Jiang Jie ◽  
...  
Keyword(s):  
Particle Transport ◽  
Unstructured Grids ◽  
Scheduling Algorithm ◽  
Transport Equations ◽  
Time Dependent
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