scholarly journals Investigation of two-dimensional channel flow with a partially compliant wall using finite volume-finite difference approach

2005 ◽  
Vol 49 (6) ◽  
pp. 635-655 ◽  
Author(s):  
X. Zhang ◽  
R. Ajaykumar ◽  
N. M. Sudharsan ◽  
K. Kumar
Keyword(s):  
Finite Difference ◽  
Finite Volume ◽  
Channel Flow ◽  
Two Dimensional ◽  
Compliant Wall ◽  
Finite Difference Approach

scholarly journals The Higher-Order CESE Method for Two-dimensional Shallow Water Magnetohydrodynamics Equations

2019 ◽  
Vol 12 (4) ◽  
pp. 1464-1482
Author(s):  
Sidrah Ahmed ◽  
Saqib Zia
Keyword(s):  
Finite Difference ◽  
Shallow Water ◽  
Finite Volume ◽  
Source Term ◽  
Numerical Test ◽  
Finite Volume Methods ◽  
Higher Order ◽  
Two Dimensional ◽  
Temporal Dimensions ◽  
Shallow Water Magnetohydrodynamics

The numerical solution of two-dimensional shallow water magnetohydrodynamics model is obtained using the $4^{th}$-order conservation element solution element method (CESE). The method is based on unified treatment of spatial and temporal dimensions contrary to the finite difference and finite volume methods. The higher-order CESE scheme is constructed using same definitions of conservation and solution elements that are used for $2^{nd}$-order CESE scheme formulation. Hence it is more convenient to increase accuracy of CESE methods as compared to the finite difference and finite volume methods. Moreover the scheme is developed using the conservative formulation and do not require change in the source term for treating the degenerate hyperbolic nature of shallow water magnetohydrodynamics system due to divergence constraint. The spatial and temporal derivatives have been obtained by incorporating $4^{th}$-order Taylor expansion and the projection method is used to handle the divergence constraint. The accuracy and robustness of the extended method is tested by performing a benchmark numerical test taken from the literature. Numerical experiment revealed the accuracy and computational efficiency of the scheme.

Sedimentation in long sea outfalls

1995 ◽  
Vol 32 (2) ◽  
pp. 123-132
Author(s):  
K. H. M. Ali ◽  
R. Burrows ◽  
A. E. Wose
Keyword(s):  
Finite Difference ◽  
Experimental Investigations ◽  
Two Dimensional ◽  
Bed Morphology ◽  
Qualitative Representation ◽  
Sea Outfalls ◽  
Finite Difference Approach

This paper presents results of analytical and experimental investigations of sediment motion and bed morphology in circular outfalls. Behaviour of prototype and model sediments were studied in detail. A two-dimensional finite difference approach has been shown to provide qualitative representation of the experimental observations.

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