Operator splitting algorithms are frequently used for solving the advection -diffusion equation, especially to deal with advection dominated transport problems. In this paper an operator splitting algorithm for the three-dimensional advection-diffusion equation is presented. The algorithm represents
Intermediate dirichlet boundary conditions for operator splitting algorithms for the advection-diffusion equation
โ Scribed by Liaqat Ali Khan; Philip L.-F. Liu
- Publisher
- Elsevier Science
- Year
- 1995
- Tongue
- English
- Weight
- 919 KB
- Volume
- 24
- Category
- Article
- ISSN
- 0045-7930
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๐ SIMILAR VOLUMES
Rational strategies are considered for the specification of the intermediate boundary condition at an inflow boundary where process splitting (fractional steps) is adopted in solving the advection-dispersion equation. Three lowest-order methods are initially considered and evaluation is based on com
## Abstract Consider the advectionโdiffusion equation: u~1~ + au~x1~ โ vฮดu = 0 in โ^n^ ร โ^+^ with initial data u^0^; the Support of u^0^ is contained in โ(x~1~ < 0) and a: โ^n^ โ โ is positive. In order to approximate the full space solution by the solution of a problem in โ ร โ^+^, we propose the
One of the main applications of fractional derivative is in the modeling of intermediate physical processes. In this work, the methodology of fractional calculus is used to model the intermediate process between advection and dispersion as an initial-boundary-value problem for a partial differential