18 citations · 63 across the 15 of their papers we have counts for
16 papers
Constraint Energy Minimizing Generalized Multiscale Finite Element Method for multi-continuum Richards equations
Tina Mai, Siu Wun Cheung, Jun Sur Richard Park
In fluid flow simulation, the multi-continuum model is a useful strategy. When the heterogeneity and contrast of coefficients are high, the system becomes multiscale, and some kind…
Local Lagrangian reduced-order modeling for Rayleigh-Taylor instability by solution manifold decomposition
Siu Wun Cheung, Youngsoo Choi, Dylan Matthew Copeland +1
Rayleigh-Taylor instability is a classical hydrodynamic instability of great interest in various disciplines of science and engineering, including astrophyics, atmospheric sciences…
Online adaptive algorithm for Constraint Energy Minimizing Generalized Multiscale Discontinuous Galerkin Method
Sai-Mang Pun, Siu Wun Cheung
In this research, we propose an online basis enrichment strategy within the framework of a recently developed constraint energy minimizing generalized multiscale discontinuous Gale…
Analysis of Non-local Multicontinuum Upscaling for Dual Continuum Model
Jingyan Zhang, Siu Wun Cheung
In this paper, we develop and analyze a rigorous multiscale upscaling method for dual continuum model, which serves as a powerful tool in subsurface formation applications. Our pro…
Multiscale simulations for multi-continuum Richards equations
Jun Sur Richard Park, Siu Wun Cheung, Tina Mai
In this paper, we study a multiscale method for simulating a dual-continuum unsaturated flow problem within complex heterogeneous fractured porous media. Mathematically, each of th…
Explicit and Energy-Conserving Constraint Energy Minimizing Generalized Multiscale Discontinuous Galerkin Method for Wave Propagation in Heterogeneous Media
Siu Wun Cheung, Eric T. Chung, Yalchin Efendiev +1
In this work, we propose a local multiscale model reduction approach for the time-domain scalar wave equation in a heterogenous media. A fine mesh is used to capture the heterogene…
Constraint Energy Minimizing Generalized Multiscale Discontinuous Galerkin Method
Siu Wun Cheung, Eric T. Chung, Wing Tat Leung
Numerical simulation of flow problems and wave propagation in heterogeneous media has important applications in many engineering areas. However, numerical solutions on the fine gri…
Reduced-order Deep Learning for Flow Dynamics
Min Wang, Siu Wun Cheung, Wing Tat Leung +3
In this paper, we investigate neural networks applied to multiscale simulations and discuss a design of a novel deep neural network model reduction approach for multiscale problems…
Generalized Multiscale Multicontinuum Model for Fractured Vuggy Carbonate Reservoirs
Min Wang, Siu Wun Cheung, Eric T. Chung +2
Simulating flow in a highly heterogeneous reservoir with multiscale characteristics could be considerably demanding. To tackle this problem, we propose a numerical scheme coupling…
Prediction of Discretization of GMsFEM using Deep Learning
Min Wang, Siu Wun Cheung, Eric T. Chung +3
In this paper, we propose a deep-learning-based approach to a class of multiscale problems. THe Generalized Multiscale Finite Element Method (GMsFEM) has been proven successful as…
Constraint Energy Minimizing Generalized Multiscale Finite Element Method for dual continuum model
Siu Wun Cheung, Eric T. Chung, Yalchin Efendiev +2
The dual continuum model serves as a powerful tool in the modeling of subsurface applications. It allows a systematic coupling of various components of the solutions. The system is…
Nonlocal multicontinua upscaling for multicontinua flow problems in fractured porous media
Maria Vasilyeva, Eric T. Chung, Siu Wun Cheung +2
Our goal of this paper is to develop a new upscaling method for multicontinua flow problems in fractured porous media. We consider a system of equations that describes flow phenome…
Deep Global Model Reduction Learning in Porous Media Flow Simulation
Siu Wun Cheung, Eric T. Chung, Yalchin Efendiev +3
In this paper, we combine deep learning concepts and some proper orthogonal decomposition (POD) model reduction methods for predicting flow in heterogeneous porous media. Nonlinear…
An embedded SDG method for the convection-diffusion equation
Siu Wun Cheung, Eric T. Chung
In this paper, we present an embedded staggered discontinuous Galerkin method for the convection-diffusion equation. The new method combines the advantages of staggered discontinuo…
Deep Multiscale Model Learning
Yating Wang, Siu Wun Cheung, Eric T. Chung +2
The objective of this paper is to design novel multi-layer neural network architectures for multiscale simulations of flows taking into account the observed data and physical model…
A mass conservative scheme for fluid-structure interaction problems by the staggered discontinuous Galerkin method
Siu Wun Cheung, Eric Chung, Hyea Hyun Kim
In this paper, we develop a new mass conservative numerical scheme for the simulations of a class of fluid-structure interaction problems. We will use the immersed boundary method…