6 citations · 15 across the 6 of their papers we have counts for
6 papers
A hybrid phase field method for fluid-structure interactions in viscous fluids
Qi Hong, Qi Wang
We present a novel computational modeling framework to numerically investigate fluid-structure interaction in viscous fluids using the phase field embedding method. Each rigid body…
A novel class of energy-preserving Runge-Kutta methods for the Korteweg-de Vries equation
Yue Chen, Yuezheng Gong, Qi Hong +1
In this paper, we present a quadratic auxiliary variable approach to develop a new class of energy-preserving Runge-Kutta methods for the Korteweg-de Vries equation. The quadratic…
Supplementary Variable Method for Developing Structure-Preserving Numerical Approximations to Thermodynamically Consistent Partial Differential Equations
Yuezheng Gong, Qi Hong, Qi Wang
We present a new temporal discretization paradigm for developing energy-production-rate preserving numerical approximations to thermodynamically consistent partial differential equ…
Efficient energy-preserving numerical approximations for the sine-Gordon equation with Neumann boundary conditions
Qi Hong, Yushun Wang, Yuezheng Gong
We present two novel classes of fully discrete energy-preserving algorithms for the sine-Gordon equation subject to Neumann boundary conditions. The cosine pseudo-spectral method i…
Second-order linear structure-preserving modified finite volume schemes for the regularized long-wave equation
Qi Hong, Jialing Wang, Yuezheng Gong
In this paper, based on the weak form of the Hamiltonian formulation of the regularized long-wave equation and a novel approach of transforming the original Hamiltonian energy into…
Optimal error estimate of two linear and momentum-preserving Fourier pseudo-spectral schemes for the RLW equation
Qi Hong, Yushun Wang, Yuezheng Gong
In this paper, two novel linear-implicit and momentum-preserving Fourier pseudo-spectral schemes are proposed and analyzed for the regularized long-wave equation. The numerical met…