2 citations · 4 across the 7 of their papers we have counts for
7 papers
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.…
A mass-preserving level set method for simulating 2D/3D fluid flows with evolving interface
Hao-Liang Wen, Ching-Hao Yu, Tony Wen-Hann Sheu
Within the context of Eulerian approaches, we aim to develop a new interface-capturing solver to predict two-phase flow in 2D/3D Cartesian meshes. To achieve mass conservation and…
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…
Computational study for investigating acoustic streaming and heating during acoustic hemostasis
Maxim A. Solovchuk, Marc Thiriet, Tony W. H. Sheu
High intensity focused ultrasound (HIFU) has many applications ranging from thermal ablation of cancer to hemostasis. Although focused ultrasound can seal a bleeding site, physical…
Effect of acoustic streaming on tissue heating due to high-intensity focused ultrasound
Maxim A. Solovchuk, Tony W. H. Sheu, Marc Thiriet +1
The influences of blood vessels and focused location on temperature distribution during high-intensity focused ultrasound (HIFU) ablation of liver tumors is studied. A three-dimens…