scholarly journals A new sinc-galerkin method for convection-diffusion equations with mixed boundary conditions

2004 ◽  
Vol 47 (4-5) ◽  
pp. 803-822 ◽  
Author(s):  
J.L Mueller ◽  
T.S Shores
Keyword(s):  
Boundary Conditions ◽  
Galerkin Method ◽  
Mixed Boundary ◽  
Mixed Boundary Conditions ◽  
Diffusion Equations ◽  
Convection Diffusion

A VISCOUS-INVISCID COUPLING UNDER MIXED BOUNDARY CONDITIONS

1992 ◽  
Vol 02 (04) ◽  
pp. 461-482 ◽  
Author(s):  
C. CANUTO ◽  
A. RUSSO
Keyword(s):  
Boundary Conditions ◽  
Original Problem ◽  
Mixed Boundary ◽  
Mixed Boundary Conditions ◽  
Diffusion Problem ◽  
Convection Diffusion ◽  
Convection Equation ◽  
Convection Dominated

In this paper we consider a nonlinear modification of a linear convection-diffusion problem in order to get a pure convection equation where the original problem is convection dominated. We extend the results of previous papers by considering mixed Dirichlet/Oblique derivative boundary conditions.

scholarly journals Dynamic identification of boundary conditions for convection-diffusion transport model in the case of noisy measurements

2019 ◽  
Vol 21 (4) ◽  
pp. 469-479
Author(s):  
Anastasia N. Kuvshinova
Keyword(s):  
Boundary Conditions ◽  
Transport Model ◽  
Mixed Boundary ◽  
Mixed Boundary Conditions ◽  
Simultaneous Estimation ◽  
Dynamic Identification ◽  
Diffusion Transport ◽  
One Dimensional ◽  
Convection Diffusion ◽  
Noisy Measurements

The paper addresses the problem of dynamic identification of mixed boundary conditions for one-dimensional convection-diffusion transport model based on noisy measurements of the function of interest. Using finite difference method the original model with the partial differential equation is replaced with the discrete linear dynamic system with noisy multisensor measurements in which boundary conditions are included as unknown input vector. To solve the problem, the algorithm of simultaneous estimation of the state and input vectors is used. The results of numerical experiments are presented which confirm the practical applicability of the proposed method.

scholarly journals Lattice-Boltzmann Simulations of the Convection-Diffusion Equation with Different Reactive Boundary Conditions

Mathematics ◽  
2019 ◽  
Vol 8 (1) ◽  
pp. 13
Author(s):  
Rui Du ◽  
Jincheng Wang ◽  
Dongke Sun
Keyword(s):  
Diffusion Equation ◽  
Boundary Conditions ◽  
Lattice Boltzmann ◽  
Mixed Boundary ◽  
Interpolation Method ◽  
Mixed Boundary Conditions ◽  
Convection Diffusion ◽  
Convection Diffusion Equation ◽  
Lattice Boltzmann Simulations ◽  
Accuracy And Stability

We have tested the accuracy and stability of lattice-Boltzmann (LB) simulations of the convection-diffusion equation in a two-dimensional channel flow with reactive-flux boundary conditions. We compared several different implementations of a zero-concentration boundary condition using the Two-Relaxation-Time (TRT) LB model. We found that simulations using an interpolation of the equilibrium distribution were more stable than those based on Multi-Reflection (MR) boundary conditions. We have extended the interpolation method to include mixed boundary conditions, and tested the accuracy and stability of the simulations over a range of Damköhler and Péclet numbers.

Existence theorems for the quantum drift–diffusion equations with mixed boundary conditions

2016 ◽  
Vol 18 (04) ◽  
pp. 1550048 ◽  
Author(s):  
Xiangsheng Xu
Keyword(s):  
Boundary Conditions ◽  
Mixed Boundary ◽  
Existence Theorems ◽  
Neumann Boundary ◽  
Mixed Boundary Conditions ◽  
Approximate Solutions ◽  
Diffusion Equations ◽  
Drift Diffusion ◽  
High Regularity ◽  
Recent Theorem

In this paper, we construct a weak solution to the unipolar quantum drift–diffusion equations coupled with initial and mixed boundary conditions in up to four space dimensions. We only assume that the boundary of the domain is Lipschitz and the interface between the Dirichlet boundary and the Neumann boundary is a Lipschitzian hypersurface, and thus the lack of high regularity for solutions of such problems is an issue. The convergence of a sequence of approximate solutions is established via an application of a recent theorem by the author on the logarithmic upper bound for solutions of elliptic equations with the same type of boundary conditions [Logarithmic up bounds for solutions of elliptic partial differential equations, Proc. Amer. Math. Soc. 139 (2011) 3485–3490].

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