The following projects are based on numerical method. This list shows the latest innovative projects which can be built by students to develop hands-on experience in areas related to/ using numerical method.
All the engineering devices we use involves the conversion of energy. In this process, a lot of heat released to the surroundings as a part of energy loss. The efficiency of any device can be increased by minimizing loss due to heat transfer. That’s why a lot of research going on around the world in the field of heat transfer. To solve real-life heat transfer problems Numerical methods are preferred, because of less time consumption, ease, and convenience. To get hands-on experience on numerical methods, here you are going to solve the Two-Dimensional flat plate problem with Constant conductivity heat transfer by using Numerical methods.
Numerical analysis is one of the most researched fields today. Getting an exact solution for physical problems is too difficult and again for most of the physical problems exact solution does not exist at all, so numerical techniques are preferred to obtain a fairly exact solution with ease. In this project, you will write your own codes to simulate temperature distribution over a 1D flat plate and compare its result with the exact solution to check the accuracy of your Numerical solution.
Solving differential equations are always been challenging for engineers. This is because there is a lot of variants to differential equations and also the complexity of these equations varies with respect to a number of variables involved and order of the equation. A differential equation which describes a physical problem is very complex and cannot be solved by an analytical approach. So, studying numerical methods is important for an engineer. In this project, you will learn the Finite Difference Method (Numerical Method) by solving a Linear Convection equation.
It is expensive to use physical experiments to get essential engineering data for designing is quite expensive. Getting engineering data of a fluid in motion, using Computational Fluid Dynamics (CFD) Simulations are relatively inexpensive. Costs are likely to be decreased as computational power has increased. So, using numerical methods to solve various flow problems is effective. In this project, you are going to solve a one-dimensional problem of interacting blast waves using the Finite Volume Method (FVM).
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