Results 221 to 230 of about 23,022 (259)

Convection Systems with Stiff Source Terms

Mathematical Models and Methods in Applied Sciences, 2003
The aim of this paper is the numerical treatment of some convection systems with stiff relaxation source-terms. We will first define the notion of stiffness for such systems and will select some prototypical and physical problems. We will introduce a new numerical method in order to solve accurately this type of systems.
Lorin, E., Seignole, V.
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On a Singular Nonlinear Dirichlet Problem with a Convection Term

SIAM Journal on Mathematical Analysis, 2000
The authors establish some results on existence, nonxistence, and regularity of a positive solution to the following Dirichlet problem \[ -\Delta u=\frac{1}{u^{\alpha}+ \lambda |\nabla u|^p+\sigma}, \quad x \in \Omega \subset \mathbb{R}^n, \] \(u|_{\partial \Omega}=0.
Zhijun Zhang, Jianning Yu
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Sublinear elliptic systems with a convection term

Communications in Partial Differential Equations, 2020
In this paper, we study existence and properties of solutions for some nonlinear elliptic systems like {−div(A(x)∇u)+u=−div(u M(x)∇ψ)+f(x),−div(M(x)∇ψ)=uθ.
Lucio Boccardo, Orsina
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Discretization of the Convection Term

2015
So far, the discretization of the general steady diffusion equation has been formulated on orthogonal, non-orthogonal, structured, and unstructured grids. Another important term, the convection term represented by the divergence operator, is the focus of this chapter.
F. Moukalled, L. Mangani, M. Darwish
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Dirichlet problems for the p-Laplacian with a convection term

Revista Matemática Complutense, 2017
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
García-Melián, Jorge, Sabina de Lis, José C., Takáč, Peter   +2 more
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EFFECT OF THE CONVECTIVE INERTIA TERM ON BENARD CONVECTION IN A POROUS MEDIUM

Numerical Heat Transfer, Part A: Applications, 1992
The thermal impact of the convective inertia term, which resembles the term used in the Navier-Stokes equation for pure fluids, is investigated numerically considering Benard convection in a fluid-saturated porous medium. There has been some theoretical discussion in the archival literature about the correctness of including an inertia term in the form
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High order “ZIP” differencing of convective terms

Journal of Computational Physics, 1981
The ZIP flux form for differencing the term (wv)x, where w is a convected quantity and v is a convective velocity, is observed to be equivalent to differencing the alternative expression wvx + wxv using centered second order finite differences. The advantage of this form is that one class of nonlinear computational instabilities is eliminated. Based on
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Comparison of Convective Terms’ Approximations in DES Family Methods

Mathematical Models and Computer Simulations, 2022
Summary: The central-difference and upwind schemes for the convective terms of the gas dynamics equations are considered, as well as their interaction, carried out using various transition and weight functions. Testing was carried out on a model problem of the decay of homogeneous isotropic turbulence.
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Long-Term Evolution of Convectively Unstable Disk

Proceedings of the International Astronomical Union, 2020
AbstractWe continue studying convection as a possible factor of episodic accretion in protoplanetary disks. Within the model of a viscous disk, the accretion history is analyzed at different rates and regions of matter inflow from the envelope onto the disk. It is shown that the burst-like regime occurs in a wide range of parameters.
Lomara Maksimova, Yaroslav Pavlyuchenkov
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Parabolic Equations with Dominating Convection Terms

1983
During the past few years much attention has been given to the numerical solution of model equations describing two completely different physical phenomena. Due to the presence of terms in one equation describing different physical processes these equations can be very hard to solve numerically and several specialised numerical schemes have been ...
B. M. Herbst, S. W. Schoombie
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