On a monotonicity preserving Eulerian–Lagrangian localized adjoint method for advection–diffusion equations
✍ Scribed by Thimo Neubauer; Peter Bastian
- Book ID
- 108050937
- Publisher
- Elsevier Science
- Year
- 2005
- Tongue
- English
- Weight
- 806 KB
- Volume
- 28
- Category
- Article
- ISSN
- 0309-1708
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📜 SIMILAR VOLUMES
We develop a family of Eulerian-Lagrangian localized adjoint methods for the solution of the initial-boundary value problems for first-order advection-reaction equations on general multi-dimensional domains. Different tracking algorithms, including the Euler and Runge-Kutta algorithms, are used. The
Characteristic methods generally generate accurate numerical solutions and greatly reduce grid orientation effects for transient advection-diffusion equations. Nevertheless, they raise additional numerical difficulties. For instance, the accuracy of the numerical solutions and the property of local