Incorporation and test of diffusion and strain effects in the two- dimensional vortex blob technique
type: Item
instance of: scholarly article
title: Incorporation and test of diffusion and strain effects in the two- dimensional vortex blob technique
zbMATH Open document ID: 0665.76027
DOI: 10.1016/0021-9991(89)90036-3
published in: Journal of Computational Physics
publication date: 1989-01-01T00:00:00Z
review text: Vorticity diffusion as well as small scale strain effects in a rotational fluid layer are incorporated in the vortex blob technique by changing the blob size. While the strain effect is computed by approximating the derivative of the normal velocity component across the layer, the vorticity diffusion is accounted for on the basis of the similarity solution for a diffusively spreading vortex sheet. This approach, which presents an alternative to the random walk method, allows us to track vorticity fronts in flows that do not conserve circulation such as miscible multiphase Hele-Shaw flows. We test the numerical method by comparing numerically obtained linear growth rates for an inviscid parallel shear layer and a miscible displacement process in a porous medium to exact results obtained from linear stability theory. When compared to the constant size vortex blob technique, the present extensions yield greatly improved results for the inviscid shear layer. For the diffusively spreading rotational layer arising in the miscible displacement process, the numerically obtained time-dependent growth rates show good quantitative agreement with exact results.
Mathematics Subject Classification ID: 76B47
Mathematics Subject Classification ID: 76M99
zbMATH DE Number: 4089126
zbMATH Keywords: Vorticity diffusion
zbMATH Keywords: small scale strain effects
zbMATH Keywords: rotational fluid layer
zbMATH Keywords: vortex blob technique
zbMATH Keywords: miscible multiphase Hele-Shaw flows
author: Eckart Meiburg
MaRDI profile type: Publication
full work available at URL: 0021-9991(89)90036-3
OpenAlex ID: W1964087154
cites work: Q5532416
cites work: Vortex methods for flow simulation
cites work: Q3730193
cites work: The formation of vortices from a surface of discontinuity
cites work: On the Point Vortex Method
cites work: On the inviscid instability of the hyperbolictangent velocity profile
cites work: Nonlinear unstable viscous fingers in Hele–Shaw flows. II. Numerical simulation
cites work: Q3479713
cites work: Stability of miscible displacements in porous media: Rectilinear flow
Recommended article: Vortex blob methods applied to interfacial motion
Recommended article: Q3440721
Recommended article: THE VORTEX BLOB METHOD AS A SECOND-GRADE NON-NEWTONIAN FLUID
Recommended article: On Diffusion of Vorticity in Couple Stress Fluid
Recommended article: The Diffused Vortex Hydrodynamics Method
Recommended article: Diffusion of two vortices
Recommended article: Q4718312
Recommended article: On the diffusion of a rigid viscoplastic vortex layer
Recommended article: Simulation of Rayleigh-Taylor flows using vortex blobs
description: scientific article; zbMATH DE number 4089126