D. Kuzmin
Current Organizations / Institutes
The organizations/institutes from the scholar's latest article
Research Subjects
D. Kuzmin has a total of 2 co-authors. Here are the top co-authors by number of shared publications:
- Matthias Möller
Delft University of Technology
1 shared publication S. Turek
Institute of Applied Mathematics (LS III), University of Dortmund, Vogelpothsweg 87, D‐44227, Dortmund, Germany
1 shared publication
Latest Publications
- 13 May 2003
- Published by Wiley in International Journal for Numerical Methods in Fluids
- Vol. 42 (3) , 265-295
Multidimensional FEM‐FCT schemes for arbitrary time stepping
The flux‐corrected‐transport paradigm is generalized to finite‐element schemes based on arbitrary time stepping. A conservative flux decomposition procedure is proposed for both convective and diffusive terms. Mathematical properties of positivity‐preserving schemes are reviewed. A nonoscillatory low‐order method is constructed by elimination of negative off‐diagonal entries of the discrete transport operator. The linearization of source terms and extension to hyperbolic systems are discussed. Zalesak's multidimensional limiter is employed to switch between linear discretizations of high and low order. A rigorous proof of positivity is provided. The treatment of non‐linearities and iterative solution of linear systems are addressed. The performance of the new algorithm is illustrated by numerical examples for the shock tube problem in one dimension and scalar transport equations in two dimensions. Copyright © 2003 John Wiley & Sons, Ltd.
- 13 May 2003
- Published by Wiley in International Journal for Numerical Methods in Fluids
- Vol. 42 (3) , 265-295
Multidimensional FEM‐FCT schemes for arbitrary time stepping
The flux‐corrected‐transport paradigm is generalized to finite‐element schemes based on arbitrary time stepping. A conservative flux decomposition procedure is proposed for both convective and diffusive terms. Mathematical properties of positivity‐preserving schemes are reviewed. A nonoscillatory low‐order method is constructed by elimination of negative off‐diagonal entries of the discrete transport operator. The linearization of source terms and extension to hyperbolic systems are discussed. Zalesak's multidimensional limiter is employed to switch between linear discretizations of high and low order. A rigorous proof of positivity is provided. The treatment of non‐linearities and iterative solution of linear systems are addressed. The performance of the new algorithm is illustrated by numerical examples for the shock tube problem in one dimension and scalar transport equations in two dimensions. Copyright © 2003 John Wiley & Sons, Ltd.