Stability criteria of explicit scheme is a major issue when dealing with viscous problems. The purpose of the thesis is to evaluate the efficiency of the implicit dual time stepping scheme for aeracoustic calculations. It also investigates whether the relaxation of the stability criteria is aligned with the accuracy of the solution.

The first chapter of the thesis discusses the prospect of computational aeroacoustics and the motivation behind the research of dual time stepping. Second chapter deals with various terminology of computational aeroacoustics as well as various commonly used numerical algorithms. Chapter three consists of various methodology to use along dual time stepping to solve a problem. In chapter four, two benchmark problems from CAA workshop 3 is solved and compared with the available exact solution. The last chapter describes the findings and shortcomings of this thesis and directions for future researchers.