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01/

Coding in MATLAB to solve numerical  discretization

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To code numerical discretization of a function with MATLAB using the first, second and fourth order approximations and compare the errors between these approximations with respect to analytical derivatives

02/

Coding in MATLAB to solve numerical discretization using taylor table method

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To derive fourth order approximations of a second order derivative using central difference, forward & backward difference schemes and write a code to evaluate these approximations in MATLAB for a given analytical function and compare it with analytical derivative of function and to study the effect of mesh size on solution

03/

1D Linear Convection coding using MATLAB

To solve  1D linear convection equation using MATLAB  and study the effect of number of  nodal points and time step on solution

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04/

Solving 2D Heat conduction using MATLAB

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To solve the 2D heat conduction equations for steady  state and transient cases using the implicit and explicit methods, to study the effect of time step on solution and to identify the optimum CFL number at which the solution converges

05/

Simulation of 1D super sonic nozzle flow using Macormack method

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To solve the conservative and non conservative forms  of 1D nozzle equation using Macormack method through MATLAB and to study an grid independency test on the solution  

06/

Simulation of fluid through pipe using Open Foam

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To simulate the flow of water through pipe using open foam, compare the velocity profiles along the length of the pipe and compare results from open foam using two different boundary conditions with that of Hagen Poisuelles equation

07/

Solving motion of pendulum using Matlab code

To simulate the motion of pendulum by solving the governing equations associated with pendulum motion with the help of a code developed using matlab

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(765)-637-6513

© 2023 By Ajay Sekar

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