On a high-order compact scheme and its utilization in parallel solution of a time-dependent system on a distributed memory processor

2008 ◽  
Vol 60 (3) ◽  
pp. 410-419
Author(s):  
Okon H. Akpan
Keyword(s):  
Distributed Memory ◽  
High Order ◽  
Time Dependent ◽  
Compact Scheme ◽  
Parallel Solution ◽  
High Order Compact Scheme ◽  
Time Dependent System

A New High-Order Compact Scheme of Unstructured Finite Volume Method

2016 ◽  
Vol 13 (05) ◽  
pp. 1650022
Author(s):  
Lei Fu ◽  
Shuai Zhang ◽  
Yao Zheng
Keyword(s):  
High Order ◽  
Compact Scheme ◽  
Benchmark Problems ◽  
High Order Scheme ◽  
Gradient Reconstruction ◽  
Order Scheme ◽  
Volume Method ◽  
Unstructured Finite Volume Method ◽  
High Order Compact Scheme ◽  
Good Agreement

A compact high-order scheme has been successfully proposed and verified in this paper. In this scheme, the traditional gradient reconstruction was replaced with a compact scheme. There were no needs to modify the process and algorithms of unstructured FVM including boundary conditions, flux technique, limiter functions and so on. Both memory and computation loads with the new scheme were not increased than the traditional one. Additionally, we modified Venkatakrishnan limiter to suppress numerical oscillation. The proposed compact scheme and modified Venkatakrishnan limiter have been verified with numerical experiments on benchmark problems. Numerical results showed good agreement with those obtained by other methods.

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