A level-set based sharp interface method for three-dimensional incompressible flows with complex moving boundaries

摘要

This paper presents a computational technique capable of simulating three-dimensional flows involving stationary or moving boundaries on fixed grid. This method relies on finite-difference schemes for the flow governing equations and a level-set method to track the embedded boundaries. The mesh points adjoining the interface are subjected to special treatment to capture the immersed interface without smearing. The results of the accuracy studies indicate that the accuracy is not compromised in adopting finite-difference schemes instead of finite-volume methods. Several two- and three-dimensional flows simulated for validation show that the current method compares well with the benchmark results for a variety of problems.