Unsteady Discrete Adjoint Formulation for Two-Dimensional Flow Problems with Deforming Meshes

AIAA Journal ◽  
2008 ◽  
Vol 46 (6) ◽  
pp. 1351-1364 ◽  
Author(s):  
Karthik Mani ◽  
Dimitri J. Mavriplis
Keyword(s):  
Two Dimensional ◽  
Flow Problems ◽  
Dimensional Flow ◽  
Discrete Adjoint ◽  
Adjoint Formulation ◽  
Two Dimensional Flow

scholarly journals Modeling of Transient Two Dimensional Flow in Saturated-Unsaturated Porous Media

2017 ◽  
Vol 13 (12) ◽  
pp. 195 ◽  
Author(s):  
Hassan Lemacha ◽  
Abdellatif Maslouhi ◽  
Moumtaz Razack
Keyword(s):  
Soil Surface ◽  
Flow Equation ◽  
Water Transfer ◽  
Richards Equation ◽  
Two Dimensional ◽  
Flow Problems ◽  
Dimensional Flow ◽  
Finite Differences Method ◽  
Two Dimensional Flow ◽  
Unsaturated Zones

We study the transient two-dimensional flow problems related to the recharge of groundwater using an approach based on the physics of water transfer in the whole domain, including both the saturated and the unsaturated zones. Such a domain is limited by the soil surface and by the lower impervious boundary of the aquifer. The flow problem is solved using a numerical iterative procedure based on the alternate directions implicit finite differences method. To simulate the water transfer in an unsaturatedsaturated porous medium, we developed a mathematical model based on a single flow equation used for both zones. To this end, the unsaturated and saturated zones are regarded as only one continuum and the Richards equation is used for both zones. The simulated results were validated by the calculation of the mass balance, then on values obtained by an experimental model of 160 cm length and 50 cm in height. The numerical model reproduces in a satisfactory way the experimental results giving the spacetime evolution of the level of water table.

Perspective: Selected Benchmarks From Commercial CFD Codes

1995 ◽  
Vol 117 (2) ◽  
pp. 208-218 ◽  
Author(s):  
C. J. Freitas
Keyword(s):  
Three Dimensional ◽  
Separated Flow ◽  
Policy Statement ◽  
Two Dimensional ◽  
Three Dimensional Flow ◽  
Common Reference ◽  
Reynolds Number Flow ◽  
Flow Problems ◽  
Dimensional Flow ◽  
Two Dimensional Flow

This paper summarizes the results of a series of five benchmark simulations which were completed using commercial Computational Fluid Dynamics (CFD) codes. These simulations were performed by the vendors themselves, and then reported by them in ASME’s CFD Triathlon Forum and CFD Biathlon Forum. The first group of benchmarks consisted of three laminar flow problems. These were the steady, two-dimensional flow over a backward-facing step, the low Reynolds number flow around a circular cylinder, and the unsteady three-dimensional flow in a shear-driven cubical cavity. The second group of benchmarks consisted of two turbulent flow problems. These were the two-dimensional flow around a square cylinder with periodic separated flow phenomena, and the steady, three-dimensional flow in a 180-degree square bend. All simulation results were evaluated against existing experimental data and thereby satisfied item 10 of the Journal’s policy statement for numerical accuracy. The objective of this exercise was to provide the engineering and scientific community with a common reference point for the evaluation of commercial CFD codes.

Two-Dimensional Flow of Polymer Solutions Through Porous Media

1999 ◽  
Vol 2 (3) ◽  
pp. 251-262
Author(s):  
P. Gestoso ◽  
A. J. Muller ◽  
A. E. Saez
Keyword(s):  
Porous Media ◽  
Polymer Solutions ◽  
Two Dimensional ◽  
Dimensional Flow ◽  
Two Dimensional Flow

STUDY OF NON-ISOTHERMAL TWO-DIMENSIONAL FLOW OVER A SQUARE CYLINDER IMMERSED IN A CHANNEL

2019 ◽  
Author(s):  
Gabriel Machado dos Santos ◽  
Ítalo Augusto Magalhães de Ávila ◽  
Hélio Ribeiro Neto ◽  
João Marcelo Vedovoto
Keyword(s):  
Two Dimensional ◽  
Square Cylinder ◽  
Dimensional Flow ◽  
Two Dimensional Flow
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