Results 41 to 50 of about 116,557 (189)

On one effective difference scheme for the convection‐diffusion problem

Mathematical Modelling and Analysis, 2001
The given paper is devoted to build‐up of the special economic difference schemes for non‐stationary one and two‐dimensional problems of a convection ‐ diffusion permitting to take into account convective and diffusion terms from the uniform point of ...
G. Gromyko
doaj   +1 more source

Mixing across fluid interfaces compressed by convective flow in porous media

, 2017
We study the mixing in the presence of convective flow in a porous medium. Convection is characterized by the formation of vortices and stagnation points, where the fluid interface is stretched and compressed enhancing mixing.
Dentz, Marco, Hidalgo, Juan J.
core   +1 more source

Design for Additive Manufacturing of Conformal Cooling Channels Using Thermal-Fluid Topology Optimization and Application in Injection Molds [PDF]

, 2018
Additive manufacturing allows the fabrication parts and tools of high complexity. This capability challenges traditional guidelines in the design of conformal cooling systems in heat exchangers, injection molds, and other parts and tools.
Tovar, Andres, Wu, Tong
core   +1 more source

Maximum-principle preserving space-time isogeometric analysis [PDF]

, 2019
In this work we propose a nonlinear stabilization technique for convection-diffusion-reaction and pure transport problems discretized with space-time isogeometric analysis. The stabilization is based on a graph-theoretic artificial diffusion operator and
Badia, Santiago, Bonilla, Jesús
core   +2 more sources

Two-dimensional convection—diffusion problem solved using method of localized particular solutions

MATEC Web of Conferences, 2017
A meshless local method of approximated particular solutions (LMAPS) is used to analyze problem described by the convection-diffusion equation. The method solves the steady convection-diffusion equation with reaction term.
Mužík Juraj, Holičková Martina
doaj   +1 more source

A parameter uniform numerical method for singularly perturbed delay problems with discontinuous convection coefficient

Arab Journal of Mathematical Sciences, 2016
In this paper a standard numerical method with piecewise linear interpolation on Shishkin mesh is suggested to solve singularly perturbed boundary value problem for second order ordinary delay differential equations with discontinuous convection ...
V. Subburayan
doaj   +1 more source

Local Improvements to Reduced-Order Approximations of Optimal Control Problems Governed by Diffusion-Convection-Reaction Equation

, 2014
We consider the optimal control problem governed by diffusion convection reaction equation without control constraints. The proper orthogonal decomposition(POD) method is used to reduce the dimension of the problem. The POD method may be lack of accuracy
Akman, Tuğba
core   +1 more source

A Computational Technique for Solving Singularly Perturbed Delay Partial Differential Equations

Foundations of Computing and Decision Sciences, 2021
In this work, a matrix method based on Laguerre series to solve singularly perturbed second order delay parabolic convection-diffusion and reaction-diffusion type problems involving boundary and initial conditions is introduced.
Gürbüz Burcu
doaj   +1 more source

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

Implicit-Explicit Runge-Kutta schemes for hyperbolic systems and kinetic equations in the diffusion limit

, 2011
We consider Implicit-Explicit (IMEX) Runge-Kutta (R-K) schemes for hyperbolic systems with stiff relaxation in the so-called diffusion limit. In such regime the system relaxes towards a convection-diffusion equation.
Boscarino, S., Pareschi, L., Russo, G.
core   +1 more source