A MacCormack scheme for incompressible flow

A Central-Difference Scheme for a Pure Stream Function Formulation of Incompressible Viscous Flow

A Transform-Free HOC Scheme for Incompressible Viscous Flow past a Rotationally Oscillating Circular Cylinder

A numerical study is made of laminar, unsteady flow behind a rotationally oscillating circular cylinder using a recently developed higher order compact (HOC) scheme. The stream function vorticity formulation of Navier-Stokes (N-S) equations in cylindrical polar coordinates are considered as the governing equations. The temporal behaviour of vortex formation and relevant streamline patterns of t...

numerical solution of incompressible boussinesq equations using fourth-order compact scheme: lock exchange flow

in recent years, the number of research works devoted to applying the highly accurate numerical schemes, in particular compact finite difference schemes, to numerical simulation of complex flow fields with multi-scale structures, is increasing. the use of compact finite-difference schemes are the simple and powerful ways to reach the objectives of high accuracy and low computational cost. compa...

A high-order approximate-mass spline collocation scheme for incompressible flow simulations

The development of numerical methods based on B-spline methodology is motivated by the substantial computational cost of large-eddy simulations (LES) of complex turbulent flows. Indeed, the large number of grid points needed in turbulent boundary layers remains one of the principle obstacles to a wider application of LES to flows of engineering interest. An active part of research in LES is dev...

A Hybrid Mesh Free Local RBF- Cartesian FD Scheme for Incompressible Flow around Solid Bodies

A method for simulating flow around the solid bodies has been presented using hybrid meshfree and mesh-based schemes. The presented scheme optimizes the computational efficiency by combining the advantages of both meshfree and mesh-based methods. In this approach, a cloud of meshfree nodes has been used in the domain around the solid body. These meshfree nodes have the ability to efficiently ad...