Project 1: Solution of Simultaneous Equations using Gauss-Jordan method. Practice 3: Tri Diagonal Matrix Algorithm using Python Practice 2: Gauss-Seidel method using Python Practice 1: Gauss-elimination method using Python Solution of Simultaneous Equations: Direct and Iterative methods Gauss-elimination, Gauss-Jordan, Gauss-Jacobi and Gauss-Seidel methods, Tri Diagonal Matrix Algorithm(TDMA) (Thomas) Explicit method-FTCS Method,Implicit method-BTCS Method, Crank-Nicholson method, Error, Convergence and stability analysis of above numerical Scheme, Keller Box Method. Introduction to CFD: Basics of computational fluid dynamics, Definition and overview of CFD- need, advantages, problem areas, Governing equations of fluid dynamics – Continuity, Momentum and Energy equations, Non-Dimensional form of these governing equations, Classifications of PDE: Elliptic, Parabolic and Hyperbolic equations.įinite Difference Method (FDM): Derivation of Finite difference equations (FDE) of 1 st and 2 nd order derivatives using Taylor series expansion.
