A Level Set Approach for High Performance Computing for Multiphase Fluid Flows

The study of fluid dynamics has applications in many areas of engineering and science. This includes the understanding environmental, biological and chemical flows. Laboratory experiments and computer simulations are the two main approaches for the study of complex flow problems. Computer simulations can help one to understand and analyse the complexity involved in these flows more clearly without having to perform time consuming, expensive and complicated experiments. Advancements in modern computers have facilitated the solution and analysis of fluid flows with high accuracy (close-to-reality) and reduced computational time. In computational fluid dynamics, one has to employ basic physical principles to develop mathematical models and therefore obtain accurate numerical solutions. Development and improvements of numerical schemes have encouraged researchers to investigate almost too every branch of fluid dynamics and its applications to real life problem. But multiphase flows occur in many industrial and natural phenomena such as petroleum refining, biological flows and interaction with air with sea surface. The simulation of multiphase fluid flows is one of the most challenging problems in CFD as it involves the modelling of sharp interfaces separating multiple fluids. P K Singh Department of Mathematics, University of Allahabad, Uttar Pradesh, Pin -211002, India E -Mail: [email protected]