Comparison of the ENATE approach and discontinuous Galerkin spectral element method in 1D nonlinear transport equations

• Autorzy: Llorente V. , Rubio G. , Pascau A. , Ferrer E. , Arıcı M.
• Języki publikacji: EN

Abstrakty

EN

In this paper a comparison of the performance of two ways of discretizing the nonlinear convection-diffusion equation in a one-dimensional (1D) domain is performed. The two approaches can be considered within the class of high-order methods. The first one is the discontinuous Galerkin method, which has been profusely used to solve general transport equations, either coupled as the Navier-Stokes equations, or on their own. On the other hand, the ENATE procedure (Enhanced Numerical Approximation of a Transport Equation), uses the exact solution to obtain an exact algebraic equation with integral coefficients that link nodal values with a three-point stencil. This paper is the first of a thorough assessment of ENATE by comparing it with well established high-order methods. Several test cases of the steady Burgers’ equation with and without source have been chosen for comparison.

Słowa kluczowe

EN

one-dimensional transport equation; high order method

PL

jednowymiarowe równanie transportu; metoda wyższego rzędu

• Wydawca: Instytut Podstawowych Problemów Techniki PAN
• Czasopismo: Computer Assisted Methods in Engineering and Science
• Rocznik: 2016
• Tom: Vol. 23, no. 2/3
• Strony: 133--146
• Opis fizyczny: Bibliogr. 34 poz., wykr.

Twórcy

autor

Llorente V.

• Fluid Mechanics Group and LIFTEC, University of Zaragoza and CSIC Zaragoza 50018, Spain

autor

Rubio G.

• Applied Mathematics and Statistics Department, Polytechnical University of Madrid Madrid 28040, Spain

autor

Pascau A.

• Fluid Mechanics Group and LIFTEC, University of Zaragoza and CSIC Zaragoza 50018, Spain

autor

Ferrer E.

• Applied Mathematics and Statistics Department, Polytechnical University of Madrid Madrid 28040, Spain

autor

Arıcı M.

• Fluid Mechanics Group and LIFTEC, University of Zaragoza and CSIC Zaragoza 50018, Spain
• Mechanical Engineering Department, Umuttepe Campus, Kocaeli University Kocaeli 41380, Turkey

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