Quadratic-Reconstruction Finite Volume Scheme for Compressible Flows on Unstructured Adaptive Grids

AIAA Journal ◽  
10.2514/2.183 ◽  
1997 ◽  
Vol 35 (4) ◽  
pp. 631-639 ◽  
Author(s):  
M. Delanaye ◽  
J. A. Essers
Keyword(s):  
Finite Volume ◽  
Compressible Flows ◽  
Finite Volume Scheme ◽  
Adaptive Grids ◽  
Volume Scheme

A Moving-Mesh Finite-Volume Scheme for Compressible Flows

2001 ◽  
pp. 705-710 ◽  
Author(s):  
Kenichi Matsuno ◽  
Kiyotaka Mihara ◽  
Nobuyuki Satofuka
Keyword(s):  
Finite Volume ◽  
Compressible Flows ◽  
Moving Mesh ◽  
Finite Volume Scheme ◽  
Volume Scheme

scholarly journals A high-order vertex-based central ENO finite-volume scheme for three-dimensional compressible flows

2015 ◽  
Vol 114 ◽  
pp. 172-192 ◽  
Author(s):  
Marc R.J. Charest ◽  
Thomas R. Canfield ◽  
Nathaniel R. Morgan ◽  
Jacob Waltz ◽  
John G. Wohlbier
Keyword(s):  
Finite Volume ◽  
Compressible Flows ◽  
Three Dimensional ◽  
High Order ◽  
Finite Volume Scheme ◽  
Volume Scheme

A finite volume scheme for two-phase compressible flows

1994 ◽  
Vol 18 (9) ◽  
pp. 803-819 ◽  
Author(s):  
R. Saurel ◽  
A. Forestier ◽  
D. Veyret ◽  
J.-C. Loraud
Keyword(s):  
Finite Volume ◽  
Compressible Flows ◽  
Finite Volume Scheme ◽  
Two Phase ◽  
Volume Scheme

scholarly journals A Fully Implicit Finite Volume Scheme for a Seawater Intrusion Problem in Coastal Aquifers

Water ◽  
2020 ◽  
Vol 12 (6) ◽  
pp. 1639
Author(s):  
Abdelkrim Aharmouch ◽  
Brahim Amaziane ◽  
Mustapha El Ossmani ◽  
Khadija Talali
Keyword(s):  
Finite Volume ◽  
Coastal Aquifers ◽  
Nonlinear Partial Differential Equations ◽  
Time Integration ◽  
Mass Conservation ◽  
Coupled System ◽  
Finite Volume Scheme ◽  
Time Step ◽  
Volume Scheme ◽  
Fully Implicit

We present a numerical framework for efficiently simulating seawater flow in coastal aquifers using a finite volume method. The mathematical model consists of coupled and nonlinear partial differential equations. Difficulties arise from the nonlinear structure of the system and the complexity of natural fields, which results in complex aquifer geometries and heterogeneity in the hydraulic parameters. When numerically solving such a model, due to the mentioned feature, attempts to explicitly perform the time integration result in an excessively restricted stability condition on time step. An implicit method, which calculates the flow dynamics at each time step, is needed to overcome the stability problem of the time integration and mass conservation. A fully implicit finite volume scheme is developed to discretize the coupled system that allows the use of much longer time steps than explicit schemes. We have developed and implemented this scheme in a new module in the context of the open source platform DuMu X . The accuracy and effectiveness of this new module are demonstrated through numerical investigation for simulating the displacement of the sharp interface between saltwater and freshwater in groundwater flow. Lastly, numerical results of a realistic test case are presented to prove the efficiency and the performance of the method.

Sign in / Sign up

Export Citation Format

Share Document