Abstract
In this paper, we present a comparison of two novel exponential schemes for convection-diffusion problems. An exponential scheme uses in one way or another the analytical solution of the flux of a one-dimensional (1D) transport equation thereby improving the results of the simulation. In a multidimensional problem, the 1D solution is combined with operator splitting. The two approximations to be assessed are the Finite Volume-Complete Flux (FV-CF) and the Enhanced Numerical Approximation of a Transport Equation (ENATE) schemes. They were proposed by the two groups that co-author the current paper. Both schemes share many similarities in 1D but differ, especially in 2D, in some aspects that will be highlighted. In their derivation the algebraic coefficients of the computational stencil are integrals of flow parameters whose calculation is crucial for the accuracy of either method. These factors and their various approximations will be analysed. Some test cases will be used to check the ability of both schemes to provide accurate results.
Original language | English |
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Article number | 124700 |
Number of pages | 21 |
Journal | Applied Mathematics and Computation |
Volume | 365 |
DOIs | |
Publication status | Published - 15 Jan 2020 |
Funding
V.J. Llorente and A. Pascau were supported by the European Union through FEDER funding and Diputación General de Aragón “Construyendo Europa desde Aragón” [Government of Aragon “Building Europe from Aragon”].
Keywords
- Computational Fluid Dynamics (CFD)
- ENATE
- Exponential scheme
- FV-CF
- Transport equation