The scope of this review is to draw some recent numerical models and related approximation methods for a wide range of free surface water flow simulations. Basically, the models are derived from unsteady free surface full 3D Navier‐Stokes equations considered as a satisfied description of the physical features concerning several hydro phenomena as for example lake eutrophication remedial by air injection, transport of pollutant, flood in rivers, watershed, etc. The computational cost generated by such 3D global model being important, we focus the effort by combining the use of 2D sophisticated models keeping the most significant physical aspects, appropriate coupling models or multi‐models of different dimensions, numerical efficient schemes using a priori or a posteriori error estimates and parallel algorithmic through HPCN facilities. The common numerical methods and techniques used are based on the characteristics method for the time discretization of the convection terms occurring in the mass, free surface flow or momentum equations presented under different formulation; in the momentum equations, this leads to steady Quasi‐Stokes problems discretized by finite element mixed formulation using a conjugate gradient Uzawa algorithm. In this review, we present the methods of solution and some related numerical simulations using the above mentioned common techniques of various water free surface problems under different formulation: St‐Venant velocity‐height, two phase water‐air bubble Navier‐Stokes velocity‐pressure or stream vector‐vorticity.
Skip Nav Destination
Article navigation
6 September 2007
NUMERICAL ANALYSIS AND APPLIED MATHEMATICS: International Conference of Numerical Analysis and Applied Mathematics
16–20 September 2007
Corfu (Greece)
Research Article|
September 06 2007
Review of a Common Computational Approach Combining Characteristics Methods and Mixed Finite Elements Formulations
F. El Dabaghi
F. El Dabaghi
INRIA Rocquencourt, B.P. 105, 78153 Le Chesnay Cedex, France
Search for other works by this author on:
AIP Conf. Proc. 936, 136–139 (2007)
Citation
F. El Dabaghi; Review of a Common Computational Approach Combining Characteristics Methods and Mixed Finite Elements Formulations. AIP Conf. Proc. 6 September 2007; 936 (1): 136–139. https://doi.org/10.1063/1.2790092
Download citation file:
Pay-Per-View Access
$40.00
Sign In
You could not be signed in. Please check your credentials and make sure you have an active account and try again.
5
Views
Citing articles via
Inkjet- and flextrail-printing of silicon polymer-based inks for local passivating contacts
Zohreh Kiaee, Andreas Lösel, et al.
Design of a 100 MW solar power plant on wetland in Bangladesh
Apu Kowsar, Sumon Chandra Debnath, et al.
Effect of coupling agent type on the self-cleaning and anti-reflective behaviour of advance nanocoating for PV panels application
Taha Tareq Mohammed, Hadia Kadhim Judran, et al.
Related Content
Toward a Synthesis of the Newtonian and Darwinian Worldviews
Physics Today (October 2002)
Highly parallelisable simulations of time-dependent viscoplastic fluid flow with structured adaptive mesh refinement
Physics of Fluids (September 2018)
Numerical study of short fiber orientation in simple injection molding processes
AIP Conference Proceedings (March 2015)
An exploratory study on water resources management using mathematical modelling
AIP Conf. Proc. (January 2024)
Water quality and phytoplankton as indicators pollution in Ir H. Djuanda reservoir, West Java Indonesia
AIP Conf. Proc. (December 2023)