Objective: Derive the 4th order approximation of second order derivative using symmetric stencil (central differencing method) and skewed stencil(skewed right sided and skewed left sided differencing method) and prove that the skewed schemes are fourth order approximate. Write a matlab code to evaluate the second order…

Abstract The given problem demonstrates the flow of heat along a unit square domain at a defined length. Using both explicit and implicit scheme, the steady state and transient state conduction is computed. Applying Jacobi, gauss seidel and SOR iterative solver with a defined CFL value, a comparison study is done to find…

Abstract: Supersonic nozzles are generally used for lifting rockets and produce supersonic flows in missiles. These nozzles have converging diverging sections where the area varies from inlet section to the outlet section. In this context, a numerical simulation is performed by taking in consideration of both conservative…

Aim: To study the effect of fluid flow over a backward facing step geometry block in OpenFOAM and Paraview. Objectives: Show the variation of velocity magnitude profile as a function of mesh grading factor. Use grading factors 0.2, 0.5, 0.8. Measure the velocity profile at 0.085m from the inlet of the geometry. Compare…