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This chapter covers the fundamentals of computational fluid dynamics with a focus on grid generation, boundary conditions, and the solver stage. It discusses structured and unstructured grids, the significance of boundary conditions in solving differential equations, and highlights the classification of partial differential equations. Understanding these concepts is essential for accurately simulating fluid flow problems in hydraulic engineering.
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References
55a.pdfClass Notes
Memorization
What we have learnt
Final Test
Revision Tests
Term: Structured Grid
Definition: A grid with a regular and coherent structure, typically uniform and rectangular.
Term: Unstructured Grid
Definition: A grid where the cell arrangement is irregular and lacks symmetry, often using polygons or triangles.
Term: Boundary Conditions
Definition: Conditions that specify the behavior of a fluid at the boundaries of its domain, affecting the overall solution of fluid flow equations.
Term: Partial Differential Equations (PDEs)
Definition: Mathematical equations that involve functions of multiple independent variables and their partial derivatives, key in describing fluid dynamics.
Term: Continuity Equation
Definition: A fundamental principle of fluid dynamics that expresses the conservation of mass in a fluid flow.
Term: Momentum Equations
Definition: Equations that describe the motion of fluid, particularly in terms of momentum conservation.