The study of high resolution implicit algorithm in unstructured grids and its application

2014 ◽  
pp. 139-146
Keyword(s):  
High Resolution ◽  
Unstructured Grids ◽  
Implicit Algorithm

FEM-FCT: Combining unstructured grids with high resolution

1988 ◽  
Vol 4 (6) ◽  
pp. 717-729 ◽  
Author(s):  
R. Löhner ◽  
K. Morgan ◽  
M. Vahdati ◽  
J. P. Boris ◽  
D. L. Book
Keyword(s):  
High Resolution ◽  
Unstructured Grids

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

High-Resolution Compositional Reservoir Simulation with Dynamic Coarsening and Local Timestepping for Unstructured Grids

SPE Journal ◽  
2021 ◽  
pp. 1-17
Author(s):  
Ø. S. Klemetsdal ◽  
O. Møyner ◽  
A. Moncorgé ◽  
H. M. Nilsen ◽  
K-. A. Lie
Keyword(s):  
High Resolution ◽  
Reservoir Simulation ◽  
Unstructured Grids ◽  
Computational Time ◽  
Flow Equations ◽  
Flow Models ◽  
Fluid Physics ◽  
Computational Overhead ◽  
Complex Fluid ◽  
Quantities Of Interest

Summary Numerical smearing is oftentimes a challenge in reservoir simulation, particularly for complex tertiary recovery strategies. We present a new high-resolution method that uses dynamic coarsening of a fine underlying grid in combination with local timestepping to provide resolution in time and space. The method can be applied to stratigraphic and general unstructured grids, is efficient, introduces minimal computational overhead, and is applicable to flow models seen in practical reservoir engineering. Technically, the method is based on three concepts: Sequential splitting of the flow equations into a pressure equation and a system of transport equations Dynamic coarsening in which we temporarily coarsen the grid locally by aggregating cells into coarse blocks according to cell-wise indicators on the basis of residuals (gradients and other measures of spatial and temporal changes can also be used) Asynchronous local timestepping that traverses cells/coarse blocks in the direction of flow We assess the applicability of the method through a set of representative cases, ranging from conceptual to realistic, with complex fluid physics and reservoir geology, and demonstrate that the method can be used to reduce computational time and still retain high resolution in spatial/temporal zones and quantities of interest.

High-Resolution Finite Volume Methods on Unstructured Grids for Turbulence and Aeroacoustics

2011 ◽  
Vol 18 (3) ◽  
pp. 315-340 ◽  
Author(s):  
Xesús Nogueira ◽  
Sofiane Khelladi ◽  
Ignasi Colominas ◽  
Luis Cueto-Felgueroso ◽  
José París ◽  
...  
Keyword(s):  
High Resolution ◽  
Finite Volume ◽  
Unstructured Grids ◽  
Finite Volume Methods
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