High-Order Methods for Three-Dimensional Strand-Cartesian Grids

2015 ◽  
Author(s):  
Oisin Tong ◽  
Aaron J. Katz ◽  
Andrew M. Wissink ◽  
Jayanarayanan Sitaraman
Keyword(s):  
Three Dimensional ◽  
High Order ◽  
Cartesian Grids ◽  
High Order Methods

High-Order Methods for Turbulent Flows on Three-Dimensional Strand Grids

2015 ◽  
Vol 67 (1) ◽  
pp. 84-102 ◽  
Author(s):  
Oisin Tong ◽  
Aaron Katz ◽  
Yushi Yanagita ◽  
Alex Casey ◽  
Robert Schaap
Keyword(s):  
Turbulent Flows ◽  
Three Dimensional ◽  
High Order ◽  
High Order Methods ◽  
Strand Grids

High order boundary treatment for high order methods in computational fluid dynamics

2016 ◽  
Author(s):  
André Ribeiro de Barros Aguiar ◽  
Carlos Breviglieri ◽  
Fábio Mallaco Moreira ◽  
Eduardo Jourdan ◽  
João Luiz F. Azevedo
Keyword(s):  
Fluid Dynamics ◽  
Computational Fluid Dynamics ◽  
High Order ◽  
High Order Methods ◽  
Boundary Treatment

High-Order Methods For Wave Propagation

2008 ◽  
Author(s):  
Miguel R. Visbal ◽  
Scott E. Sherer ◽  
Michael D. White
Keyword(s):  
Wave Propagation ◽  
High Order ◽  
High Order Methods

Optimization of the Navy’s three-dimensional mine impact burial prediction simulation model, Impact35, using high-order numerical methods

2021 ◽  
pp. 154851292110286
Author(s):  
Athanasios Donas ◽  
Ioannis Famelis ◽  
Peter C Chu ◽  
George Galanis
Keyword(s):  
Numerical Analysis ◽  
Numerical Methods ◽  
Prediction Model ◽  
Simulation Model ◽  
Three Dimensional ◽  
Simulation System ◽  
High Order ◽  
Alternative Methodology ◽  
Runge Kutta ◽  
Fifth Order

The aim of this paper is to present an application of high-order numerical analysis methods to a simulation system that models the movement of a cylindrical-shaped object (mine, projectile, etc.) in a marine environment and in general in fluids with important applications in Naval operations. More specifically, an alternative methodology is proposed for the dynamics of the Navy’s three-dimensional mine impact burial prediction model, Impact35/vortex, based on the Dormand–Prince Runge–Kutta fifth-order and the singly diagonally implicit Runge–Kutta fifth-order methods. The main aim is to improve the time efficiency of the system, while keeping the deviation levels of the final results, derived from the standard and the proposed methodology, low.

scholarly journals High-order compact LOD methods for solving high-dimensional advection equations

2021 ◽  
Vol 40 (3) ◽  
Author(s):  
Bo Hou ◽  
Yongbin Ge
Keyword(s):  
Truncation Error ◽  
Three Dimensional ◽  
Taylor Series Expansion ◽  
High Order ◽  
High Dimensional ◽  
Analysis Method ◽  
Order Accuracy ◽  
Von Neumann ◽  
One Dimensional ◽  
Von Neumann Analysis

AbstractIn this paper, by using the local one-dimensional (LOD) method, Taylor series expansion and correction for the third derivatives in the truncation error remainder, two high-order compact LOD schemes are established for solving the two- and three- dimensional advection equations, respectively. They have the fourth-order accuracy in both time and space. By the von Neumann analysis method, it shows that the two schemes are unconditionally stable. Besides, the consistency and convergence of them are also proved. Finally, numerical experiments are given to confirm the accuracy and efficiency of the present schemes.

Numerical simulation of quench propagation at early phase by high-order methods

Cryogenics ◽  
2006 ◽  
Vol 46 (7-8) ◽  
pp. 589-596
Author(s):  
Shaolin Mao ◽  
Cesar A. Luongo ◽  
David A. Kopriva
Keyword(s):  
Numerical Simulation ◽  
Early Phase ◽  
High Order ◽  
High Order Methods ◽  
Quench Propagation
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