{"id":22600,"date":"2019-01-16T23:15:38","date_gmt":"2019-01-16T20:15:38","guid":{"rendered":"http:\/\/ihcoedu.uobaghdad.edu.iq\/?p=22600"},"modified":"2019-01-17T01:31:07","modified_gmt":"2019-01-16T22:31:07","slug":"%d8%ad%d9%84%d9%82%d8%a9-%d9%86%d9%82%d8%a7%d8%b4%d9%8a%d8%a9-%d8%a8%d8%b9%d9%86%d9%88%d8%a7%d9%86-%d8%aa%d8%b5%d9%85%d9%8a%d9%85-%d8%aa%d9%82%d9%86%d9%8a%d8%a7%d8%aa-%d8%ac%d8%af%d9%8a%d8%af%d9%87","status":"publish","type":"post","link":"https:\/\/ihcoedu.uobaghdad.edu.iq\/?p=22600","title":{"rendered":"\u062d\u0644\u0642\u0629 \u0646\u0642\u0627\u0634\u064a\u0629 \u0628\u0639\u0646\u0648\u0627\u0646 (\u062a\u0635\u0645\u064a\u0645 \u062a\u0642\u0646\u064a\u0627\u062a \u062c\u062f\u064a\u062f\u0647 \u0644\u0645\u0639\u0627\u062f\u0644\u0627\u062a \u0627\u0644\u0645\u064a\u0627\u0647 \u0627\u0644\u0636\u062d\u0644\u0647 \u062b\u0646\u0627\u0626\u064a\u0647 \u0627\u0644\u0627\u0628\u0639\u0627\u062f)"},"content":{"rendered":"

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\u00a0<\/span><\/h4>\n

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\"\"<\/span><\/h4>\n

\u00a0<\/strong><\/span><\/h4>\n
\n
\n

<\/h4>\n

\u00a0<\/strong><\/span><\/h4>\n

Abstract <\/strong><\/span><\/h4>\n

Most flows in the rivers, seas, and ocean are shallow water flow in which the horizontal length and velocity scales are much larger than the vertical ones. The mathematical formulation of these flows, so called shallow water equations (SWEs). These equations are a system of hyperbolic partial differential equations and they are effective for many physical phenomena in the oceans, coastal regions, and canals. More generally, SWEs describe the evolution of unsteady flow (incompressible) of a fluid, not necessarily water with constant density in hydrostatic balance.<\/span><\/h4>\n

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This thesis focuses on the design of a new two-way interaction technique for multiple nested grids\u00a0 2DSWEs using the numerical methods.\u00a0 The first part of this thesis includes, proposing several ways to develop the derivation of shallow water model. The complete derivation of this system from Navier- Stokes equations is explained. Studying the development and evaluation of numerical methods by suggesting new spatial and temporal discretization techniques in a standard C-grid using an explicit finite difference method in space and leapfrog with Robert-Asselin filter in time which are effective for modeling in oceanic and atmospheric flows. Several numerical examples for this model using Gaussian level initial condition are implemented in order to validate the efficiency of the proposed method.<\/span><\/h4>\n

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In the second part of our work, we are interested to propose a new two-way interaction technique for multiple nested grids to solve ocean models using four choices of higher restriction operators (update schemes) for the free surface elevation and velocities with high accuracy results. Our work focuses \u00a0on several major aspects including configuration of nested grid for 2DSWEs, and design of interpolation\/restriction operators. Some new algorithms are established to implement two-way interaction technique for this model.<\/span><\/h4>\n

Intergrid transfer operators (interpolations and updates) are given. Then, looks into the optimum feedback conditions and interpolation techniques to maximize the feedback of the information. Four choices of the update schemes for free surface elevation and velocities on Arakawa C-grid are applied.<\/span><\/h4>\n

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In the third part of this thesis, several numerical examples are tested to show and verify two-way interaction technique for multiple nested grids of shallow water models can works efficiently over different periods of time with nesting 3:1 and 5:1 at multiple levels. Some examples for multiple nested grids of the tsunami model with nesting 5:1 using moving boundary conditions are tested in the fourth part of this work.<\/span><\/h4>\n

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