Eventos Anais de eventos
ENCIT 2018
Brazilian Congress of Thermal Sciences and Engineering
Performance of Finite Volume Discretization Schemes for the Convective-Diffusive Linear Transport Equation. Part II: High Eigenvalue-Peclet Ratios.
Submission Author:
Gustavo Silva Rodrigues , MG , Brazil
Co-Authors:
Gustavo Silva Rodrigues, Adyllyson Nascimento, José Ricardo Figueiredo
Presenter: Gustavo Silva Rodrigues
doi://10.26678/ABCM.ENCIT2018.CIT18-0159
Abstract
The objective of this paper is to expand the investigation of numerical performance of various finite-volume discretization schemes, for the case of two-dimensional transport of an inert scalar in a constant velocity field. Central differencing, Simple Exponential, First Order Upwind, Second Order Upwind, QUICK, LOADS and UNIFAES schemes were submitted to a series of test cases given by distinct solutions of the transport equation to investigate the accuracy of the numerical schemes in a general situation. The governing equation of this problem has six elementary solutions in real form dependent on an eigenvalue. These exact solutions are imposed as Dirichlet condition at the boundaries nodes of the square domain. The system of equations generated by each discretization scheme is solved employing the ADI method. QUICK, UNIFAES and LOADS schemes present the best performance in most cases, however, QUICK may present non-monotonic convergence. Generally the numerical error of all schemes grows with increasing eigenvalues and tends to become constant at high frequencies. However, regions of the spectrum of solutions with low numerical errors are formed for some schemes.
Keywords
Finite Volumes, Discretization Schemes, Numerical analysis, Eigenvalues, CFD
