The totally volume local discontinuous Galerkin method for viscous Burgers’ equations.

المؤلفون

  • Elhadi Elhadi
  • Mouad Fakroon
  • Abdelhadi Buzghaiba

الكلمات المفتاحية:

Burgers’ equation; Totally volume local discontinuous Galerkin method; strong stability preserving Runge Kutta explicit method.

الملخص

In this paper, the totally volume local discontinuous Galerkin TV-LDG method is proposed to solve the viscous Burgers’ equations with appropriate initial and boundary conditions. Time derivative is discretized by the third-order strong stability preserving Runge Kutta explicit SSP-RK (3, 3) method. Space derivatives discretization is performed by the totally volume local discontinuous Galerkin method. Finally, the validity of proposed scheme is demonstrated by numerical experiments and shows that the present scheme offers better accuracy in comparison with other existing numerical methods.

السير الشخصية للمؤلفين

Elhadi Elhadi

Department of Mechanical Engineering, Faculty of Engineering,University of Benghazi, Benghazi, Libya

Mouad Fakroon

Department of Aeronautical Engineering, Faculty of Aeronautical Sciences,Universityof Bright Star,Berega, Libya

Abdelhadi Buzghaiba

Department of Aeronautical Engineering, Faculty of Aeronautical Sciences,Universityof Bright Star,Berega, Libya

التنزيلات

منشور

2022-09-18

إصدار

القسم

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