Results 71 to 80 of about 96,751 (277)

Existence and uniqueness of the weak solution for Keller-Segel model coupled with Boussinesq equations

Demonstratio Mathematica, 2021
Keller-Segel chemotaxis model is described by a system of nonlinear partial differential equations: a convection diffusion equation for the cell density coupled with a reaction-diffusion equation for chemoattractant concentration.
Slimani Ali, Bouzettouta Lamine, Guesmia Amar   +2 more
doaj   +1 more source

Space-time discontinuous Galerkin method for the compressible Navier-Stokes equations on deforming meshes [PDF]

, 2006
An overview is given of a space-time discontinuous Galerkin finite element method for the compressible Navier-Stokes equations. This method is well suited for problems with moving (free) boundaries which require the use of deforming elements. In addition,
Bos, F. van der, Klaij, C.M., Vegt, J.J.W. van der, Ven, H. van der   +3 more
core   +1 more source

Locally Adaptive Non‐Hydrostatic Shallow Water Extension for Moving Bottom‐Generated Waves

International Journal for Numerical Methods in Fluids, EarlyView.
This study proposes a locally adaptive non‐hydrostatic model, which is based on the non‐hydrostatic extension of the shallow water equations (SWE) with a quadratic pressure relation, and applies it to wave propagation generated by a moving bottom. To obtain the locally adaptive model, we investigate several potential adaptivity criteria based on the ...
Kemal Firdaus, Jörn Behrens
wiley   +1 more source

Entropy Generation and Heat Transfer in a Circular Cavity With Immiscible Fluids: Effects of Active Cylinder Position and Oscillating Magnetic Field

Heat Transfer, EarlyView.
ABSTRACT This study investigates entropy generation and heat transfer in a circular cavity containing immiscible air and TiO2–water nanofluid layers with a centrally positioned active cylinder under oscillating magnetic field influence. The governing equations were solved using the Galerkin weighted residual finite element method with a penalty ...
Ahmed M. Hassan, Mohammed Azeez Alomari, Ameer K. Salho, Nasser H. Hamza, Abdellatif M. Sadeq, Faris Alqurashi, Mujtaba A. Flayyih   +6 more
wiley   +1 more source

Thermal–Hydraulic Performance and Entropy Generation Analysis of a Nanoencapsulated Phase Change Material Suspension Flow Between Fixed and Rotating Cylinders Under Magnetic Field Influence

Heat Transfer, EarlyView.
ABSTRACT This study investigates the thermal–hydraulic performance of a nanoencapsulated phase change material (NEPCM) suspension in a rectangular enclosure featuring two counterrotating cylinders positioned between three fixed hot and three fixed cold cylinders under magnetic field influence.
Mohammed Azeez Alomari, Ahmed M. Hassan, Abdellatif M. Sadeq, Faris Alqurashi, Mujtaba A. Flayyih   +4 more
wiley   +1 more source

Weak Galerkin method for the Navier-Stokes equation with nonlinear damping term

Networks and Heterogeneous Media
The primary focus of this research was to investigate the weak Galerkin (WG) finite element method for the Navier-Stokes equations with damping.
Yue Tai, Xiuli Wang, Weishi Yin, Pinchao Meng   +3 more
doaj   +1 more source

Totally Volume Integral of Fluxes for Discontinuous Galerkin Method (TVI-DG) I-Unsteady Scalar One Dimensional Conservation Laws

مجلة المختار للعلوم, 2017
The volume integral of Riemann flux in the discontinuous Galerkin (DG) method is introduced in this paper. The boundaries integrals of the fluxes (Riemann flux) are transformed into volume integral.
Ibrahim. M. Rustum, ElHadi. I. Elhadi
doaj   +1 more source

A highly accurate numerical method for solving boundary value problem of generalized Bagley‐Torvik equation

Mathematical Methods in the Applied Sciences, EarlyView.
A highly accurate numerical method is given for the solution of boundary value problem of generalized Bagley‐Torvik (BgT) equation with Caputo derivative of order 0<β<2$$ 0<\beta <2 $$ by using the collocation‐shooting method (C‐SM). The collocation solution is constructed in the space Sm+1(1)$$ {S}_{m+1}^{(1)} $$ as piecewise polynomials of degree at ...
Suzan Cival Buranay, Mtema James Chin, Nazim I. Mahmudov   +2 more
wiley   +1 more source

Stabilized approximation of steady flow of third grade fluid in presence of partial slip

Results in Physics, 2017
This article presents a stable numerical solution to the steady flow of thermodynamic compatible third grade fluid past a porous plate. Problem formulation is completed through partial slip condition.
Amer Rasheed, Azka Kausar, Abdul Wahab, Tanvir Akbar   +3 more
doaj   +1 more source

Numerical Analysis of a Benjamin–Bona–Mahony Type Equation in a Noncylindrical Domain

Mathematical Methods in the Applied Sciences, EarlyView.
ABSTRACT Numerical analysis and simulation for the approximate solution of a Benjamin–Bona–Mahony type equation defined in a noncylindrical domain are presented in this article. The approximate problem is defined using the linearized Crank–Nicolson Galerkin method, which results in a linear algebraic system at each time step while maintaining quadratic
Vania Cristina Machado, Bruno Alves do Carmo, Mauro Antonio Rincon   +2 more
wiley   +1 more source