An SBP-SAT FDTD subgridding method using staggered Yee's grids without modifying field components for TM analysis
A summation-by-parts simultaneous approximation term (SBP-SAT) finite-difference time-
domain (FDTD) subgridding method is proposed to model geometrically fine structures in …
domain (FDTD) subgridding method is proposed to model geometrically fine structures in …
A high‐order finite‐difference method on staggered curvilinear grids for seismic wave propagation applications with topography
We developed a 3D elastic wave propagation solver that supports topography using
staggered curvilinear grids. Our method achieves comparable accuracy to the classical …
staggered curvilinear grids. Our method achieves comparable accuracy to the classical …
Modeling and inversion in acoustic-elastic coupled media using energy-stable summation-by-parts operators
Seismic data acquired at the seafloor are valuable in characterizing the subsurface and
monitoring producing hydrocarbon fields. To fully use such data, a stable, accurate, and …
monitoring producing hydrocarbon fields. To fully use such data, a stable, accurate, and …
Combining finite element and finite difference methods for isotropic elastic wave simulations in an energy-conserving manner
We consider numerical simulation of the isotropic elastic wave equations arising from
seismic applications with non-trivial land topography. The more flexible finite element …
seismic applications with non-trivial land topography. The more flexible finite element …
Summation-by-parts finite-difference shallow water model on the cubed-sphere grid. Part I: Non-staggered grid
Abstract Summation-by-Parts Finite Differences (SBP-FD) is an approach for approximation
of differential operators satisfying a discrete analogue of integration by parts analytic …
of differential operators satisfying a discrete analogue of integration by parts analytic …
Numerical dispersion mitigation neural network with velocity model correction
The paper presents the Numerical Dispersion Mitigation neural network (NDM-net) to speed
up seismic modeling. The idea of the NDM-net is to simulate the common-shot gathers for …
up seismic modeling. The idea of the NDM-net is to simulate the common-shot gathers for …
Energy conservative SBP discretizations of the acoustic wave equation in covariant form on staggered curvilinear grids
We develop a numerical method for solving the acoustic wave equation in covariant form on
staggered curvilinear grids in an energy conserving manner. The use of a covariant basis …
staggered curvilinear grids in an energy conserving manner. The use of a covariant basis …
Discrete vector calculus and Helmholtz Hodge decomposition for classical finite difference summation by parts operators
In this article, discrete variants of several results from vector calculus are studied for classical
finite difference summation by parts operators in two and three space dimensions. It is …
finite difference summation by parts operators in two and three space dimensions. It is …
Toward the Development of a 3-D SBP-SAT FDTD Method: Theory and Validation
Y Cheng, H Liu, X Wang, G Chen… - … on Antennas and …, 2022 - ieeexplore.ieee.org
To enhance the scalability and performance of the traditional finite-difference time-domain
(FDTD) methods, a 3-D summation-by-part simultaneous approximation term (SBP-SAT) …
(FDTD) methods, a 3-D summation-by-part simultaneous approximation term (SBP-SAT) …
A stable FDTD subgridding scheme with SBP-SAT for transient electromagnetic analysis
We proposed a provably stable FDTD subgridding method for accurate and efficient
transient electromagnetic analysis. In the proposed method, several field components are …
transient electromagnetic analysis. In the proposed method, several field components are …