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Integral equation formulation of an unsteady diffusion-convection equation with variable coefficient and velocityRavnik, Jure ; Škerget, LeopoldIn this paper we present an integral equation formulation for the time dependent diffusion- convection equation with variable coefficient and velocity with sources. The formulation is based on usage ... of the steady fundamental solution of the convection-diffusion equation. For a known velocity and coefficient fields, which may change with location and time, the formulation avoids the usage of the gradient of the unknown field function and thus avoids making the problem nonlinear. Two discretization approaches are proposed and compared: a standard single domain boundary-domain element technique and a domain decomposition approach. The validity of the formulation and comparison of discretization approaches is preformed on several challenging test cases. Mesh convergence is reported and the advantages and disadvantages of both approaches are examined.Source: Computers & mathematics with applications. - ISSN 0898-1221 (Vol. 66, no. 12, Jan. 2014, str. 2477-2488)Type of material - article, component partPublish date - 2014Language - englishCOBISS.SI-ID - 17342742
Author
Ravnik, Jure |
Škerget, Leopold
Topics
metoda robnih elementov |
konvekcija |
difuzija |
advekcija |
prenosni pojavi |
enačbe |
turbulentni tok |
mehanika tekočin |
difuzijsko-konvektivna enačba |
difuzijsko-advektivna enačba |
boundary element method |
transport processes |
diffusion-convection equation |
diffusion-advection equation |
variable coefficient |
domain decomposition
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Database name | Field | Year |
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Ravnik, Jure | 24331 |
Škerget, Leopold | 06428 |
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