convection diffusion
Modeling Convection Diffusion with Exponential Upwinding
... vection diffusion equations computationally, it is desir- able to implement methods that are amenable to parallel ...a convection diffusion model either in two or three dimensions, at the end, we are ...
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Difference -Analytical Method Of The One-Dimensional Convection-Diffusion Equation
... Usually, solution of differential equations by numerical methods is obtained in the form of numbers. Here we will show a possibility of deriving of a solution of differential equations by difference methods in the ...
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Non-uniform HOC Scheme for the 3D Convection–Diffusion Equation
... solving convection-diffusion equation as it plays an important role in computational fluid dynamics ...for convection diffusion equations on uniform grids for two dimensional space [1–3] and ...
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Numerical Simulation by Galerkin Method of 2D Nonlinear Convection-Diffusion
... Abstract: The objective of this paper is to numerically solve a 2D Transient Nonlinear Convection-Diffusion Equation using the Galerkin Method. For numerical formulation, the Crank-Nicolson Method was used ...
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Greenʼs function estimates for a singularly perturbed convection–diffusion problem
... [3] V. B. Andreev. Anisotropic estimates for the Green function of a singularly per- turbed two-dimensional monotone difference convection-diffusion operator and their applications. Comput. Math. Math. ...
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Research on generalized space time fractional convection diffusion equation
... year, Wang Xuebin[2] considered multinomial fractional ordinary differential equation. He proved existence and uniqueness of the solution and proposed three numerical solution methods to approximate the equation ...
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Development of a Generalized Finite Difference Scheme for Convection-Diffusion Equation
... The objective of this research is to develop a new generalized finite difference method which can be used to solve any PDE in an arbitrarily discretized domain. Although this research is focused only on one-dimensional ...
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A local projection stabilization finite element method with nonlinear crosswind diffusion for convection-diffusion-reaction equations
... θ-scheme. To our best knowledge, this is the first nonlinear discretization for convection- diffusion-reaction equations for which both, existence and uniqueness of a solution can be shown. The form of the ...
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On the natural stabilization of convection diffusion problems using LPIM meshless method
... By using the finite element p-Version in convection-diffusion problems, we can attain to a stabilized and accurate results. Furthermore, the fundamental of the finite element p-Version is augmentation ...
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Combined Compact Difference Scheme for Solving Unsteady Convection Diffusion Equations
... The convection-diffusion equation is widely used in many engineering and practical problems. It is a typical mathematical model for studying the numerical solution of partial differential equations. The ...
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Grid expansion factor for the shooting method solution of convection diffusion equation
... A new technique in the determination of grid expansion factor 𝑟 𝑒 which represents a quantitative guideline for the shooting method solution of the convection-diffusion equations is proposed. The ...
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Numerical Simulation of Groundwater Pollution Problems Based on Convection Diffusion Equation
... The analytical solution of the convection diffusion equation is considered by two-dimensional Fourier transform and the inverse Fourier transform. To get the numerical solution, the Crank-Nicolson finite ...
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A unified analysis of Algebraic Flux Correction schemes for convection-diffusion equations
... The improvement of AFC schemes and the further development of their analysis have been listed in [30] among the most important open problems for H 1 -conforming finite elements for convection–diffusion ...
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A control volume technique based on integrated RBFNs for the convection-diffusion equation
... Abstract This paper reports a new high-order control-volume discretisation for the convection-diffusion equation in one and two dimensions. Diffusive fluxes at the faces of a control volume and other terms ...
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Analysis of an Il’in Scheme for a System of Singularly Perturbed Convection Diffusion Equations
... perturbed convection-diffusion equations is ...perturbed convection-diffusion equations is O(N) and the relevant coefficient matrix is well con- ditioned in comparison with the matrices ...
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Edge-based nonlinear diffusion for finite element approximations of convection-diffusion equations and its relation to algebraic flux-correction schemes
... of convection–diffusion equations using piecewise affine continuous finite elements a new edge-based nonlinear diffusion operator is proposed that makes the scheme satisfy a discrete maximum ...The ...
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Neumann-Type A Posteriori Error Estimation For Steady Convection-Diffusion Equation
... Neumann problem, so-called Neumann-type estimators, were first given by [5]. These estimators have been studied by many researchers such as [2], [11], [21], [24], [27], [29]. Our aim is to analyze the reliability of the ...
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Adaptive Finite Element Method for Steady Convection Diffusion Equation
... The paper is organized as follows. In Section 2 we recall the convection-diffusion problem under considera- tion and the Streamline Diffusion Finite Element Method. In Section 3 we define a ...
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Superconvergence of the local discontinuous Galerkin method for nonlinear convection diffusion problems
... holds true for arbitrary meshes under the reasonable assumptions. Then Zhang and Shu extend the results in [] to the third-order TVD Runge-Kutta time discretization case, which is more popular in the computation []. ...
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Star based a Posteriori Error Estimator for Convection Diffusion Problems
... the convection diffusion ...for convection diffusion problem, and we introduced a technique which allowed us to define a new a posteriori error estimator which are equivalent to the energy ...
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