5 papers
A new transient higher order compact scheme for computation of flow and heat transfer in nonuniform polar grids
Dharmaraj Deka, Shuvam Sen
In this work, a higher order compact (HOC) discretization is developed on the nonuniform polar grid. The discretization conceptualized using the unsteady convection-diffusion equat…
Fourth order compact scheme for the Navier-Stokes equations on time deformable domains
Shuvam Sen, Tony W. H. Sheu
In this work, we report the development of a spatially fourth order temporally second order compact scheme for incompressible Navier-Stokes (N-S) equations in time-varying domain.…
Phase error analysis of implicit Runge-Kutta methods: Introducing new classes of minimal dissipation low dispersion high order schemes
Subhajit Giri, Shuvam Sen
In current research, we analyse dissipation and dispersion characteristics of most accurate two and three stage Gauss-Legendre implicit Runge-Kutta (R-K) methods. These methods, kn…
Fourth order compact schemes for variable coefficient parabolic problems with mixed derivatives
Shuvam Sen
In this article, we have developed a higher order compact numerical method for variable coefficient parabolic problems with mixed derivatives. The finite difference scheme, present…
A new family of implicit fourth order compact schemes for unsteady convection-diffusion equation with variable convection coefficient
Shuvam Sen
In this paper, a new family of implicit compact finite difference schemes for computation of unsteady convection-diffusion equation with variable convection coefficient is proposed…