7 papers
Domain-Decomposed Lagrangian Data Assimilation for Drifting Sea-Ice Floe Dynamics
Danyang Li, John Taylor, Quanling Deng
Sea ice dynamics are crucial to the global climate system, yet traditional continuum (e.g., viscous-plastic) models often fail to represent the discrete floe interactions that domi…
Particle, kinetic and hydrodynamic models for sea ice floes. Part II: Rotating floes with environmental forces
Quanling Deng, Seung-Yeal Ha, Jaemoon Lee +2
This paper builds on the multiscale modeling framework introduced in Part I (Deng and Ha, Physica D: Nonlinear Phenomena 483 (2025) 134951) for sea-ice floe dynamics with non-rotat…
HoSGFEM: High-order stable generalized finite element method for elliptic interface problem
Bingying Zhao, Yin Song, Quanling Deng +1
The Generalized Finite Element Method (GFEM) is an effective unfitted numerical method for handling interface problems. By augmenting the standard FEM space with an appropriate enr…
An Eulerian Data Assimilation Method for Two-Layer Quasi-Geostrophic Model in Physical Domain
Hyeonggeun Yun, Quanling Deng
Data assimilation (DA) integrates observational data with numerical models to improve the prediction of complex physical systems. However, traditional DA methods often struggle wit…
Particle, kinetic and hydrodynamic models for sea ice floes. Part I: Non-rotating floes
Quanling Deng, Seung-Yeal Ha
We introduce a comprehensive modeling framework for the dynamics of sea ice floes using particle, kinetic, and hydrodynamic approaches. Building upon the foundational work of Ha an…
Exact Eigenvalues and Eigenvectors for Some n-Dimensional Matrices
Quanling Deng
Building on previous work that provided analytical solutions to generalised matrix eigenvalue problems arising from numerical discretisations, this paper develops exact eigenvalues…
LEMDA: A Lagrangian-Eulerian Multiscale Data Assimilation Framework
Quanling Deng, Nan Chen, Samuel N. Stechmann +1
Lagrangian trajectories are widely used as observations for recovering the underlying flow field via Lagrangian data assimilation (DA). However, the strong nonlinearity in the obse…