2 citations · 4 across the 7 of their papers we have counts for
4 papers · 1 filter
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.…
ALE-type FEM formulation for PDEs on time-dependent domains with vanishing discrete SCL
Filip Ivancic, Tony W. -H. Sheu, Maxim Solovchuk
The aim of this paper is to introduce a finite element formulation within Arbitrary Lagrangian Eulerian framework with vanishing discrete {\it Space Conservation Law} (SCL) for dif…
Development of a New Spectral Collocation Method Using Laplacian Eigenbasis for Elliptic Partial Differential Equations in an Extended Domain
Po-Yi Wu, Cheng-Hong Robert Kao, Tony Wen-Hann Sheu
The recent development of spectral method has been praised for its high-order convergence in simulating complex physical problems. The combination of embedded boundary method and s…
Long-time asymptotic solution structure of Camassa-Holm equation subject to an initial condition with non-zero reflection coefficient of the scattering data
Chueh-Hsin Chang, Ching-Hao Yu, Tony Wen-Hann Sheu
In this article we numerically revisit the long-time solution behavior of the Camassa-Holm equation. The finite difference solution of this integrable equation is sought subject to…