Editors' Choice—Coupling k Convection-Diffusion and Laplace Equations in an Open-Source CFD Model for Tertiary Current Distribution Calculations

2019 ◽  
Vol 167 (1) ◽  
pp. 013513
Author(s):  
A. N. Colli ◽  
J. M. Bisang
2021 ◽  
Author(s):  
Weizhi Wang ◽  
Csaba Pákozdi ◽  
Arun Kamath ◽  
Tobias Martin ◽  
Hans Bihs

Abstract A comprehensive understanding of the marine environment in the offshore area requires phase-resolved wave information. For the far-field wave propagation, computational efficiency is crucial, as large spatial and temporal scales are involved. For the near-field extreme wave events and wave impacts, high resolution is required to resolve the flow details and turbulence. The combined use of a computationally efficient large-scale model and a high-resolution local-scale solver provides a solution the combines accuracy and efficiency. This article introduces a coupling strategy between the efficient fully nonlinear potential flow (FNPF) solver REEF3D::FNPF and the high-fidelity computational fluid dynamics (CFD) model REEF3D::CFD within in the open-source hydrodynamics framework REEF3D. REEF3D::FNPF solves the Laplace equation together with the boundary conditions on a sigma-coordinate. The free surface boundary conditions are discretised using high-order finite difference methods. The Laplace equation for the velocity potential is solved with a conjugated gradient solver preconditioned with geometric multi-grid provided by the open-source library hypre. The model is fully parallelised following the domain decomposition strategy and the MPI protocol. The waves calculated with the FNPF solver are used as wave generation boundary condition for the CFD based numerical wave tank REEF3D::CFD. The CFD model employs an interface capturing two-phase flow approach that can resolve complex wave structure interaction, including breaking wave kinematics and turbulent effects. The presented hydrodynamic coupling strategy is tested for various wave conditions and the accuracy is fully assessed.


Author(s):  
Renato M. Cotta ◽  
Joa˜o N. N. Quaresma ◽  
Leandro A. Sphaier ◽  
Carolina P. Naveira-Cotta

The present work summarizes the theory and describes the algorithm related to the construction of an open source mixed symbolic-numerical computational code named UNIT — Unified Integral Transforms, that provides a development platform for finding solutions of linear and nonlinear partial differential equations via integral transforms. The reported research was performed by making use of the symbolic computational system Mathematica v.7.0 and the hybrid numerical-analytical methodology Generalized Integral Transform Technique — GITT. The aim here is to illustrate the robust and precision controlled simulation of multidimensional nonlinear transient convection-diffusion problems, while providing a brief introduction of this open source code. Test cases are selected based on nonlinear multi-dimensional formulations of the Burgers equations, with the establishment of reference results for specific numerical values of the governing parameters. Special aspects and computational behaviors of the algorithm are then discussed, demonstrating the implemented possibilities within the present version of the UNIT code.


2004 ◽  
Vol 45 (8) ◽  
pp. 797-817 ◽  
Author(s):  
S. B. Ji ◽  
A. G. Gerber ◽  
A. C. M. Sousa

Aerospace ◽  
2016 ◽  
Vol 3 (4) ◽  
pp. 45 ◽  
Author(s):  
Vincent Casseau ◽  
Daniel Espinoza ◽  
Thomas Scanlon ◽  
Richard Brown

Aerospace ◽  
2016 ◽  
Vol 3 (4) ◽  
pp. 34 ◽  
Author(s):  
Vincent Casseau ◽  
Rodrigo Palharini ◽  
Thomas Scanlon ◽  
Richard Brown

Author(s):  
Fadi P. Deek ◽  
James A. M. McHugh
Keyword(s):  

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