Kanumuru, Venkata2020-07-022020-07-022020https://hdl.handle.net/10365/31509In this paper we implemented an adaptive mesh refinement in high performance computing environment to study a wide range of problems in engineering. They are nonlinear Fisher-Kolmogorov equation, heat equation, advection equation and poisons equation using traditional message passing interface (MPI). We used adaptive mesh refinement library called AMReX for computation. AMReX is a numerical library containing the functionality to write massively parallel, block-structured adaptive mesh refinement (AMR) applications. Our study includes examples to solve poisons equation in traditional MPI approach and compared the performance between the two methods.NDSU policy 190.6.2https://www.ndsu.edu/fileadmin/policy/190.pdfHigh performance computing.Differential equations, Partial.Reaction-diffusion equations.Heat equation.Poisson's equation.Master's paper