12. Computational fluid dynamics (Contd.)
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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Sections
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What we have learnt
- The difference between structured and unstructured grids in computational fluid dynamics.
- The importance of boundary conditions in determining the solution to fluid flow problems.
- The classification of partial differential equations based on their discriminants.
Key Concepts
- -- Structured Grid
- A grid with a regular and coherent structure, typically uniform and rectangular.
- -- Unstructured Grid
- A grid where the cell arrangement is irregular and lacks symmetry, often using polygons or triangles.
- -- Boundary Conditions
- Conditions that specify the behavior of a fluid at the boundaries of its domain, affecting the overall solution of fluid flow equations.
- -- Partial Differential Equations (PDEs)
- Mathematical equations that involve functions of multiple independent variables and their partial derivatives, key in describing fluid dynamics.
- -- Continuity Equation
- A fundamental principle of fluid dynamics that expresses the conservation of mass in a fluid flow.
- -- Momentum Equations
- Equations that describe the motion of fluid, particularly in terms of momentum conservation.
Additional Learning Materials
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