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Finite Volume Solutions of Convection-Diffusion Test Problems [PDF]
Mathematics of Computation, 1993 The cell-vertex formulation of the finite volume method has been developed and widely used to model inviscid flows in aerodynamics: more recently, one of us has proposed an extension for viscous flows. The purpose of the present paper is two-fold: first we have applied this scheme to a well-known convection-diffusion model problem, involving flow round
Mackenzie, J. A., Morton, K. W.
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Compact scheme with two-sided estimates for nonlinear convection-diffusion-reaction equations
Mathematics in Applied Sciences and EngineeringIt is desirable that a numerical method is high-order accurate, compact, efficient and able to simulate purely convection problems. Most existing high-order methods for convection-diffusion-reaction equations (CDREs) either cannot simulate purely ...
Chinedu Nwaigwe
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A mass-conservative higher-order ADI method for solving unsteady convection–diffusion equations
Advances in Difference Equations, 2020 In the paper, a high-order alternating direction implicit (ADI) algorithm is presented to solve problems of unsteady convection and diffusion. The method is fourth- and second-order accurate in space and time, respectively.
Ben Wongsaijai +2 more
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A NUMERICAL STUDY OF SUBSTANCE SPREAD IN THE POLL FROM TWO POINT SOURCES
Barekeng, 2023 Problems related to the purification of holding pool or reservoir become an interesting discussion in real events. In this paper, the author will modeling the distribution of the substance/purifier in a pool model with turbulent water flow using the ...
Nurcahya Yulian Ashar, Susilo Hariyanto
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Biomath, 2017 In this work, we present a numerical scheme for the approximate solutions of the one-dimensional parabolic convection-diffusion model problems. Diffusion models form a reasonable basis for studying insect and animal dispersal and invasion, which arise ...
Burcu Gürbüz, Mehmet Sezer
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Matrix-equation-based strategies for convection-diffusion equations
, 2015 We are interested in the numerical solution of nonsymmetric linear systems arising from the discretization of convection-diffusion partial differential equations with separable coefficients and dominant convection.
Palitta, Davide, Simoncini, Valeria
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A Modified RBF Collocation Method for Solving the Convection-Diffusion Problems
Abstract and Applied Analysis, 2023 The main purposes of this study are to propose the modified radial basis function (RBF) collocation method using a hybrid radial basis function to solve the convection-diffusion problems numerically and to choose the optimal shape parameter of radial ...
Nissaya Chuathong
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Numerical Methods for Solving Convection-Diffusion Problems [PDF]
, 2012 Convection-diffusion equations provide the basis for describing heat and mass transfer phenomena as well as processes of continuum mechanics. To handle flows in porous media, the fundamental issue is to model correctly the convective transport of ...
Churbanov, A., Vabishchevich, P.
core
Error analysis of a variational multiscale stabilization for convection-dominated diffusion equations in 2d [PDF]
, 2016 We formulate a stabilized quasi-optimal Petrov-Galerkin method for singularly perturbed convection-diffusion problems based on the variational multiscale method.
Li, Guanglian +2 more
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Engineering Strategies for Stable and Long‐Life Alkaline Zinc‐Based Flow Batteries
Advanced Functional Materials, EarlyView.Alkaline zinc‐based flow batteries face persistent challenges from unstable zinc deposition, including dendrite growth, passivation, corrosion, and hydrogen evolution, which severely limit cycling stability. Current research addresses these issues through coordinated electrode structuring, electrolyte regulation, and membrane design to control zinc ...
Yuran Bai +6 more
wiley +1 more source