Solving the unsteady linear advection diffusion equations by using the totally volume integral of the local discontinuous Galerkin method.

Elhad, Elhadi I; Fakroon, Mouad A

dc.contributor.author	Elhad, Elhadi I
dc.contributor.author	Fakroon, Mouad A
dc.date.accessioned	2020-10-01T20:40:15Z
dc.date.available	2020-10-01T20:40:15Z
dc.date.issued	2020-04-30
dc.identifier.issn	2663-1407
dc.identifier.uri	http://repository.uob.edu.ly/handle/123456789/1290
dc.description.abstract	In this paper, we present the totally volume integral of the local discontinuous Galerkin TVLDG method to solve the time-dependent linear convection-diffusion equation, the considered equation is discretized in space by the local discontinuous Galerkin method after the boundaries integral is transformed into the volume integral by employing the divergence theorem. The time discretization is accomplished by the third-order strong stability preserving Runge Kutta explicit SSP-RK (3, 3) method. Numerical solutions are compared with analytical solutions and other methods. The obtained results show that the totally volume integral of the local discontinuous Galerkin method is one of the most efficient methods for solving the time-dependent linear advection-diffusion equations	en_US
dc.language.iso	en	en_US
dc.publisher	Universty of Benghazi	en_US
dc.relation.ispartofseries	Volume 11, Issue 1, February 2020;1
dc.subject	Time-dependent linear advection-diffusion equation	en_US
dc.subject	Divergence theorem	en_US
dc.subject	Totally volume local	en_US
dc.subject	discontinuous Galerkin method	en_US
dc.subject	Strong stability	en_US
dc.subject	preserving Runge–Kutta method	en_US
dc.title	Solving the unsteady linear advection diffusion equations by using the totally volume integral of the local discontinuous Galerkin method.	en_US
dc.type	Working Paper	en_US