9 citations · 16 across the 14 of their papers we have counts for
14 papers
An unfitted boundary algebraic equation method with Calderón preconditioning for 2D Stokes flow in irregular geometry
Wenjun Ying, Qing Xia
We present an unfitted boundary algebraic equation method for the two-dimensional exterior/interior Stokes equations on a staggered MAC grid. By constructing an explicit free-space…
An Efficient Monte Carlo Simulation for Radiation Transport Based on Global Optimal Reference Field
Minsheng Huang, Ruo Li, Kai Yan +2
The reference field method, known as the difference formulation, is a key variance reduction technique for Monte Carlo simulations of thermal radiation transport problems. When the…
A Robust and Efficient Multi-physics Numerical System for Intensive Blast Wave Propagation in Complex Environments
Minsheng Huang, Pan Wang, Chengbao Yao +2
We establish a high-resolution, high-performance, and high-confidence compressible multiphysics system in a Cartesian grid with irregular boundary topologies to simulate intensive…
Chebyshev Spectral Neural Networks for Solving Partial Differential Equations
Pengsong Yin, Shuo Ling, Wenjun Ying
The purpose of this study is to utilize the Chebyshev spectral method neural network(CSNN) model to solve differential equations. This approach employs a single-layer neural networ…
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…
Physics-informed Data-driven Cavitation Model for a Specific MG EOS
Minsheng Huang, Chengbao Yao, Pan Wang +2
We present a novel one-fluid cavitation model of a specific Mie-Grüneisen equation of state(EOS), named polynomial EOS, based on an artificial neural network. Not only the physics-…
A low-dissipation reconstruction scheme for compressible single- and multi-phase flows based on artificial neural networks
Minsheng Huang, Lidong Cheng, Wenjun Ying +2
Solving compressible flows containing both smooth and discontinuous flow structures remains a significant challenge for finite volume methods. Godunov-type finite volume methods ar…
Learning Domain-Independent Green's Function For Elliptic Partial Differential Equations
Pawan Negi, Maggie Cheng, Mahesh Krishnamurthy +2
Green's function characterizes a partial differential equation (PDE) and maps its solution in the entire domain as integrals. Finding the analytical form of Green's function is a n…
An Alternating Direction Implicit Method for Mean Curvature Flows
Han Zhou, Shuwang Li, Wenjun Ying
This paper is concerned with the mean curvature flow, which describes the dynamics of a hypersurface whose normal velocity is determined by local mean curvature. We present a Carte…
ADI schemes for heat equations with irregular boundaries and interfaces in 3D with applications
Han Zhou, Minsheng Huang, Wenjun Ying
In this paper, efficient alternating direction implicit (ADI) schemes are proposed to solve three-dimensional heat equations with irregular boundaries and interfaces. Starting from…