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Upwind Finite-Volume Solution of Stochastic Burgers' Equation

Mohamed A. El-Beltagy
2012 Applied Mathematics  
In this paper, a stochastic finite-volume solver based on polynomial chaos expansion is developed. The upwind scheme is used to avoid the numerical instabilities.  ...  The mean, standard deviation and the probability distribution function (p.d.f) of the stochastic Burgers' solution is quantified and the effect of some parameters is investigated.  ...  Figure 3 shows the convergence history of the stochastic finite volume solver for different mean values of viscosity. The residual logarithm is reduced up to −10.  ... 
doi:10.4236/am.2012.311247 fatcat:neqlui4cqnffzifqzixv3qqgza

A Discontinuous Finite Volume Method for the Darcy-Stokes Equations

Zhe Yin, Ziwen Jiang, Qiang Xu
2012 Journal of Applied Mathematics  
This paper proposes a discontinuous finite volume method for the Darcy-Stokes equations. An optimal error estimate for the approximation of velocity is obtained in a mesh-dependent norm.  ...  First-orderL2-error estimates are derived for the approximations of both velocity and pressure. Some numerical examples verifying the theoretical predictions are presented.  ...  For any v, q ∈ V h × Q h , one has C v, q −B v, q . 2.33 Journal of Applied Mathematics 9 P 2 and |v | 1 v 1,h .  ... 
doi:10.1155/2012/761242 fatcat:ll5yfspkzzfxlemegrjheolukm

EJM volume 23 issue 2 Cover and Back matter

2012 European journal of applied mathematics  
Strachan, University of Glasgow, UK Glasgow Mathematical Journal publishes original research papers in any branch of pure and applied mathematics.  ...  Manuscripts for consideration for the European Journal of Applied Mathematics should be submitted electronically as a pdf file, using the Editorial Manager system.  ... 
doi:10.1017/s0956792512000046 fatcat:flwge3mupzhcpdg6v2vcx5xcuq

EJM volume 23 issue 4 Cover and Back matter

2012 European journal of applied mathematics  
Glasgow Mathematical Journal publishes original research papers in any branch of pure and applied mathematics.  ...  Manuscripts for consideration for the European Journal of Applied Mathematics should be submitted electronically as a pdf file, using the Editorial Manager system.  ... 
doi:10.1017/s0956792512000174 fatcat:msey37bnarf3hlimnrcsfvuqcm

EJM volume 23 issue 3 Cover and Back matter

2012 European journal of applied mathematics  
For free online content visit: http://journals.cambridge.org/flm Journal of Fluid Mechanics is the leading international journal in the field and is essential reading for all those concerned with developments  ...  It publishes authoritative articles covering theoretical, computational and experimental investigations of all aspects of the mechanics of fluids.  ...  This journal contains research papers on topics in a broad range of pure and applied mathematics, together with a number of topical book reviews.  ... 
doi:10.1017/s0956792512000095 fatcat:6odohgdikncpdnfulp7iyw3iei

EJM volume 23 issue 6 Cover and Back matter

2012 European journal of applied mathematics  
This journal contains research papers on topics in a broad range of pure and applied mathematics, together with a number of topical book reviews.  ...  Manuscripts for consideration for the European Journal of Applied Mathematics should be submitted electronically as a pdf file, using the Editorial Manager system.  ... 
doi:10.1017/s0956792512000368 fatcat:av65nppqjnbu5eomkjqduhesry

Upwind Finite-Volume Solution of Stochastic Burgers' Equation

Mohamed A. El-Beltagy, Mohamed I. Wafa, Osama H. Galal
2012 Applied Mathematics  
In this paper, a stochastic finite-volume solver based on polynomial chaos expansion is developed. The upwind scheme is used to avoid the numerical instabilities.  ...  The mean, standard deviation and the probability distribution function (p.d.f) of the stochastic Burgers' solution is quantified and the effect of some parameters is investigated.  ...  Figure 3 shows the convergence history of the stochastic finite volume solver for different mean values of viscosity. The residual logarithm is reduced up to −10.  ... 
doi:10.4236/am.2012.331247 fatcat:77hissktizb6dgtbqm7whypyzi

1D and 2D Numerical Modeling for Solving Dam-Break Flow Problems Using Finite Volume Method

Szu-Hsien Peng
2012 Journal of Applied Mathematics  
With conservative finite volume method, splitting is applied to manage the combination of hyperbolic term and source term of the shallow water equation and then to promote 1D to 2D.  ...  The resulting shallow water equations are solved by finite volumes using the Roe and HLL schemes. At first, the one-dimensional model is considered in the development process.  ...  Capart, Professor of Civil Engineering at National Taiwan University, for reading the parts of the paper and making a number of helpful suggestions.  ... 
doi:10.1155/2012/489269 fatcat:2ahh44y6dvgw5kxkwcxvpcq5q4

A Novel Algorithm of Advection Procedure in Volume of Fluid Method to Model Free Surface Flows

M. J. Ketabdari, H. Saghi
2012 ISRN Applied Mathematics  
In this study, the developed procedure of advection in volume of fluid (VOF) method is presented for free surface modeling.  ...  Applying Youngs' algorithm in staggered grids, it is assumed that fluid particles in the cell have the same velocity of the cell faces.  ...  Several volume advection techniques have been developed with the aim of maintaining sharp interface.  ... 
doi:10.5402/2012/521012 fatcat:wts2zz253bdhxb5csbh6ebht6i

Mathematical Modelling for the Diffusional Release of a Dispersed Solute from a Cylindrical Polymer Matrix into Finite External Volume

Thekkethil Shefeeq, Naseem Ahmad
2012 Applied Mathematics  
An exact solution has been obtained for the release kinetics of a solute from a cylindrical non-erodible polymeric matrix into a finite external volume when the initial solute loading is greater than the  ...  The moving boundary solution is derived based on the combination of variable method. The formulas of the moving boundary and the fractional solute release are given.  ...  ratio where A is initial solute loading per unit volume and C s is the solute solu-Copyright © 2012 SciRes.  ... 
doi:10.4236/am.2012.31006 fatcat:ecb3v5iolrea5j73ohmubyemxe

Unsteady Unidirectional MHD Flow of Voigt Fluids Moving between Two Parallel Surfaces for Variable Volume Flow Rates

Wei-Fan Chen, Hsin-Yi Lai, Cha'o-Kuang Chen
2012 Journal of Applied Mathematics  
Four cases of different inlet volume flow rates are considered in this study including (1) constant acceleration piston motion, (2) suddenly started flow, (3) linear acceleration piston motion, and (4)  ...  The flow motion between parallel surfaces is induced by a prescribed inlet volume flow rate that varies with time.  ...  Journal of Applied Mathematics 9 In which case, the velocity profile is u y, t U p 3 2 1 − y h 2 ∞ n 1 e s 1n t Q s 1n Q s 1n e s 2n t Q s 1n Q s 1n R y , 4.14 where R y α n h cos α n h − cos α n y , Q  ... 
doi:10.1155/2012/869357 fatcat:mcpmykh7wrchhfbuynqrkqaise

Stationary Solutions of a Volume-Filling Chemotaxis Model with Logistic Growth and Their Stability

Manjun Ma, Chunhua Ou, Zhi-An Wang
2012 SIAM Journal on Applied Mathematics  
Keller and Segel [14, 15] proposed the first mathematical model for describing the aggregation phase of Dictyostelium discoideum, and since then a vast number of results [12, 10] have been developed for  ...  In this paper, we derive the conditions for the existence of stationary solutions (i.e., nonconstant steady states) of a volume-filling chemotaxis model with logistic growth over a bounded domain subject  ...  The second author would like to thank the Department of Mathematics at the City University of Hong Kong for its hospitality and the help of its members during his stay there while on his sabbatical leave  ... 
doi:10.1137/110843964 fatcat:wy4pridl7jhmlm52zltdzrh3fm

Effects of the Fibers' Shape and Volume Fraction on the Strength of Ideally Plastic Fiber Reinforced Composites

Guillermo H. Goldsztein
2012 SIAM Journal on Applied Mathematics  
We describe a bound we have recently obtained on the yield set of the composite in terms of the shape of the fibers, their volume fraction, and the yield set of the matrix.  ...  We restrict our attention to microstructures and applied stresses that lead to both microscopic and macroscopic antiplane shear deformations.  ...  Our bound can be considered to be an application of a mathematical technique known as the translation method [41, 65, 66] .  ... 
doi:10.1137/110827193 fatcat:ca72vla6u5bcxkvpep75b4f6x4

Convergence of the discontinuous finite volume method for elliptic problems with minimal regularity

Jiangguo Liu, Lin Mu, Xiu Ye, Rabeea Jari
2012 Journal of Computational and Applied Mathematics  
This paper investigates convergence of the discontinuous finite volume method (DFVM) under minimal regularity assumptions on solutions of second order elliptic boundary value problems.  ...  Liu thanks Pattern Analysis Laboratory at Colorado State University for use of their computing facilities for some computing tasks performed in this research paper.  ...  The integral formulation of a finite volume scheme for a partial differential equation (PDE) is obtained by integrating the PDE over a control volume.  ... 
doi:10.1016/j.cam.2012.05.009 fatcat:5gooqsbqfjgljfase43tii73nu

Effective Parameters on Hardness Behavior in Nanoindentation of Nylon66/Clay Nanocomposite Using Representative Volume Element

A. Soleimani, M. Saadatfar
2012 International Journal of Applied Physics and Mathematics  
The present work is to develop representative volume element method for modelling of nanoindentation behavior of exfoliated Nylon66 /clay nanocomposite that has nonlinear elastic behavior using numerical  ...  Index Terms-Finite element, polymer/clay, nanocomposite, representative volume element method, spherical indenter.  ...  International Journal of Applied Physics and Mathematics, Vol.2, No. 1, January 2012  ... 
doi:10.7763/ijapm.2012.v2.48 fatcat:6zezvjjfsfhlzm3avzohopmvy4
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