Application of a fractional steps method for the numerical solution of the two-dimensional modeling of the Lake Mariut

Faculty Engineering Year: 2009
Type of Publication: ZU Hosted Pages:
Authors:
Journal: Applied Mathematical Modelling Elsevier Volume:
Keywords : Application , , fractional steps method , , numerical solution    
Abstract:
A fractional steps technique for the numerical solution of the shallow water equations is applied to study the water velocity in Lake Mariut, its concentration and the distribution of the temperature along it. Lake Mariut is considering the most productive natural systems in Egypt. The current configuration of this lake is changing rapidly, due to people’s activities and natural processes. Most of its water supply comes from polluted agricultural drains. Several problems affect the conservation of the Lake Mariut, mainly pollution, land reclamation, intensive aquatic vegetation, overfishing and coastal erosion. The shallow water equations for this lake are discretized on a fixed grid and time stepped with the fractional steps method. The method is efficient and simple. The absence of iterative steps in the present technique makes it very suitable for the problems in which small time steps and grid sizes are required and the simplicity of the method makes it very suitable for parallel computer. Therefore, the method provides numerical algorithms which are more efficient than other classical schemes
   
     
 
       

Author Related Publications

  • Medhat Mostafa Mostafa Helal, "Mathematical modelling for solving nonlinear heat diffusion problems of pavement spherical roads in Makkah", Taylor & Francis, 2012 More
  • Medhat Mostafa Mostafa Helal, "Application of a fractional step method for the numerical solution of the shallow water waves in a rotating rectangular basin", Taylor & Francis, 2010 More
  • Medhat Mostafa Mostafa Helal, "Similarity solutions for magneto-forced-unsteady free convective laminar boundary-layer flow", Elsevier B.V., 2008 More
  • Medhat Mostafa Mostafa Helal, "Generalization of the integral transform method to nonlinear heat-conduction problems in multilayered spherical media", King Saud University. Production and hosting by Elsevier B.V., 2012 More
  • Medhat Mostafa Mostafa Helal, "Hydrodynamic performance of multiple-row slotted breakwaters", Harbin Engineering University and Springer-Verlag Berlin Heidelberg, 2016 More

Department Related Publications

  • Ola Ragab Abdou Mohamed, "Analysis of Composite Plates Using Moving Least Squares Differential Quadrature Method", Science Direct, 2014 More
  • Ola Ragab Abdou Mohamed, "Efficient Quadrature Solution for Composite Plate Problems", medwelljournals, 2014 More
  • Rasha Ibrahiem Saleh Mohamed, "Generalized extended method for solution of nonlinear diffusion equations", مجلة الهندسة والعلوم التطبيقية, 2014 More
  • Mohamed Mohamed Ali Mohamed Saied, "Three Resultant Applications In Surface Modeling For Computer Graphics", Second National Conference of Mathematics, Cairo 6-11 April 1996, 1996 More
  • Magda Mahmoud Mohamed Kasem, "Similarity Analysis of Mass and Heat Transfer of FHD Steady Flow of Nanofluid Incorporating Magnetite Nanoparticles (Fe3O4)", East African Scholars Publisher, Kenya, 2020 More
Tweet