6 papers
High-accurate and efficient numerical algorithms for the self-consistent field theory of liquid-crystalline polymers
Zhijuan He, Kai Jiang, Liwei Tan +1
Self-consistent field theory (SCFT) is one of the most widely-used framework in studying the equilibrium phase behaviors of inhomogenous polymers. For liquid crystalline polymeric…
A GPU-accelerated Cartesian grid method for PDEs on irregular domain
Liwei Tan, Minsheng Huang, Wenjun Ying
The kernel-free boundary integral (KFBI) method has successfully solved partial differential equations (PDEs) on irregular domains. Diverging from traditional boundary integral met…
A Hybrid Kernel-Free Boundary Integral Method with Operator Learning for Solving Parametric Partial Differential Equations In Complex Domains
Shuo Ling, Liwei Tan, Wenjun Ying
The Kernel-Free Boundary Integral (KFBI) method presents an iterative solution to boundary integral equations arising from elliptic partial differential equations (PDEs). This meth…
A GPU-accelerated Cartesian grid method is proposed for solving the heat, wave, and Schrodinger equations on irregular domains
Liwei Tan, Minsheng Huang, Wenjun Ying
This paper introduces a second-order method for solving general elliptic partial differential equations (PDEs) on irregular domains using GPU acceleration, based on Ying's kernel-f…
A Non-staggered Projection Algorithm for Two-Phase Fluid-Structure Interaction Simulation Using the Phase-Field/Immersed-Boundary Method
Xiaoshuang Wang, Liwei Tan, Wenjun Ying +4
We present a Pressure-Oscillation-Free projection algorithm for large-density-ratio multiphase fluid-structure interaction simulations, implemented on a non-staggered Cartesian gri…
PM2D: A parallel GPU-based code for the kinetic simulation of laser plasma instabilities in large scale plasmas
Hanghang Ma, Liwei Tan, Suming Weng +3
Laser plasma instabilities (LPIs) have significant influences on the laser energy deposition efficiency, hot electron generation, and uniformity of irradiation in inertial confined…