Abstract
This article presents a hybridization of a local discontinuous Galerkin method (LDG) with the -method to capture nonlinear behavior of the advection-diffusion processes. The predetermined fixed flux selection is extended to the generalized problem-dependent flux selection in the LDG algorithm. The derived technique has been shown to be unconditionally stable through the L 2 stability analysis. Two illustrative test problems are considered to demonstrate the efficiency of the currently produced technique for both advection and diffusion dominated processes.
Keywords
Advection
Nonlinear system
Diffusion
Galerkin method
Discontinuous Galerkin method
Mechanics
Applied mathematics
Mathematics
Environmental science
Statistical physics
Physics
Thermodynamics
Finite element method
Subject Areas
Advanced Numerical Methods in Computational Mathematics
·Computational Mechanics ·Physical Sciences
Computational Fluid Dynamics and Aerodynamics
·Computational Mechanics ·Physical Sciences
Advanced Mathematical Modeling in Engineering
·Computational Theory and Mathematics ·Physical Sciences
Citations by Year
2022: 1
2023: 1
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