Week 3.5 - Deriving 4th order approximation of a 2nd order derivative using Taylor Table method

  Aim: To simulate the Hagen Poiseuille flow with angles of 10,24 and 45 degree for both wedge and symmetry boundary conditions Validate Hydro-dynamic length with the numerical result Validate the fully developed flow velocity profile with its analytical profile Validate maximum velocity and pressured drop for fully…

Aim:  To simulate an axi-symmetric flow by applying the wedge boundary condition.The flow is laminar and flows through a constant cross-section pipe at an inlet Reynold's number of 2100.  Validate Hydro-dynamic length with the numerical result Validate the fully developed flow velocity profile with its analytical…

FINITE VOLUME METHOD(FVM):  Finite volume refers to small packets of volume enclosing a grid pointin a mesh.Here the governing equations generally deals with integral terms.In this ,volume integrals having divergence term in them are converted to surface integrals using the divergence theorem.These surface integrals…

Aim: To simulate incompressible laminar viscour flow through backward facing step geometry. Preocedure: Open OpenFOAM tutorials and find suitable solver for the described physics of the flow.In this case icoFoam. Copy the required file to the OpenFOAm run folder so that any changes doesnt affect the original file. Got…

Aim: To simulate an isentropic flow through a quasi 1-D subsonic - supersonic nozzel and derive both conservative and non-conservative form of governing equations and solve them using MacCormak's tecnique. Also to plot the following1. Steady-state distribution of primitive variables inside the nozzle2. Time-wise variation…

AIM: Solving steady and unsteady 2D heat conduction problem Theory:                The steady 2D  heat conduction equation is as given :                       `frac(del^2T)(delx^2) +frac(del^2T)(dely^2) =0`    …

Aim: Using Taylor Table Method to derive fourth-order approximation of second-order derivative. Theory: i) The order of accuracy P = Number of nodes in the stencil N - order of derivative Q + 1 for symmetric/central schemes ii) The order of accuracy P = Number of nodes…