Multivariate Newton Raphson Solver for ODE s

Aim: To apply Reynold's decomposition to the Navier Stoke's equations to obtain the expression for Reynold's stress. Also understanding the terms Reynold's stress and the difference between turbulent and molecular viscosity. Theory: Most of the engineering problems deal with turbulent flows. A characteristic feature of…

Aim: To set up a transient shock tube simulation using Converge. Theory: Shock tubes are devices used for studying the flow of high temperature and high-velocity compressible gas. High-temperature supersonic gas flow is initiated in a shock tube as a result of the rupture of a diaphragm which is separating two gases…

Aim: To set up a flow simulation through a pipe for visualizing conjugate heat transfer through a solid pipe over the walls. Also, perform a grid dependence test and analyzing the effect of supercycle interval. Theory: Conjugate heat transfer (CHT) is a combination of heat transfer in solids and fluids. In solids,…

Aim: To simulate the Prandtl Meyer shock problem and check the effect of SGS temperature value on cell count and shock location using Converge. Also, perform a literature review on flow boundary conditions used for shock flow problems. Theory: We need boundary conditions in order to solve ordinary differential equations…