This lesson covers the basics of compressible Navier Stokes equations, extending from one-dimensional Euler equations to two dimensions. It discusses the ability of these equations to handle high-speed flow problems and wave features. The lesson also explains the continuity equation, x momentum equation, y momentum equation, and energy equation. It further elaborates on the numerical scheme for solving these equations, using the McCormack's time marching technique. The lesson concludes with a practical example of a supersonic flow impinging on a flat plate, demonstrating how to apply these equations and techniques in a real-world scenario.
00:54 - Explanation of the compressible form of Navier Stokes equations.
08:20 - Explanation of the predictor and corrector steps in the McCormack's technique.
14:58 - Explanation of the process of updating values at the walls and the outflow.
18:57 - Introduction to a simple problem of a supersonic flow impinging on a flat plate.
22:42 - Discussion on the conditions at the inflow and the far field.
26:11 - Explanation of the process of extrapolating the conditions from the inner region of the flow to the outflow.
- Compressible Navier Stokes equations are an extension of one-dimensional Euler equations to two dimensions.
- These equations can handle high-speed flow problems and wave features.
- The continuity equation, x momentum equation, y momentum equation, and energy equation are key components of these equations.
- The McCormack's time marching technique is a useful numerical scheme for solving these equations.
- Practical application of these equations can be seen in scenarios like a supersonic flow impinging on a flat plate.