Strategies for efficient numerical implementation of hybrid multi-scale agent-based models to describe biological systems

NA Cilfone, DE Kirschner, JJ Linderman - Cellular and molecular …, 2015 - Springer
Biologically related processes operate across multiple spatiotemporal scales. For
computational modeling methodologies to mimic this biological complexity, individual scale …

Harmonic BalanceMethods: A Review and Recent Developments

Z Yan, H Dai, Q Wang, SN Atluri - 2023 - ttu-ir.tdl.org
The harmonic balance (HB) method is one of the most commonly used methods for solving
periodic solutions of both weakly and strongly nonlinear dynamical systems. However, it is …

FastPM: a new scheme for fast simulations of dark matter and haloes

Y Feng, MY Chu, U Seljak… - Monthly Notices of the …, 2016 - academic.oup.com
We introduce FastPM, a highly scalable approximated particle mesh (PM) N-body solver,
which implements the PM scheme enforcing correct linear displacement (1LPT) evolution …

A novel high order space-time spectral method for the time fractional Fokker--Planck equation

M Zheng, F Liu, I Turner, V Anh - SIAM Journal on Scientific Computing, 2015 - SIAM
The fractional Fokker--Planck equation is an important physical model for simulating
anomalous diffusions with external forces. Because of the nonlocal property of the fractional …

A comparison of vortex and pseudo-spectral methods for the simulation of periodic vortical flows at high Reynolds numbers

WM Van Rees, A Leonard, DI Pullin… - Journal of Computational …, 2011 - Elsevier
We present a validation study for the hybrid particle-mesh vortex method against a pseudo-
spectral method for the Taylor–Green vortex at ReΓ= 1600 as well as in the collision of two …

[HTML][HTML] A high-order spectral method for the multi-term time-fractional diffusion equations

M Zheng, F Liu, V Anh, I Turner - Applied mathematical modelling, 2016 - Elsevier
The multi-term time-fractional diffusion equation is a useful tool in the modeling of complex
systems. This paper aims to develop a high order numerical method for solving multi-term …

Large-eddy simulation and wall modelling of turbulent channel flow

D Chung, DI Pullin - Journal of fluid mechanics, 2009 - cambridge.org
We report large-eddy simulation (LES) of turbulent channel flow. This LES neither resolves
nor partially resolves the near-wall region. Instead, we develop a special near-wall subgrid …

Symmetric factorization of the conformation tensor in viscoelastic fluid models

N Balci, B Thomases, M Renardy… - Journal of Non-Newtonian …, 2011 - Elsevier
The positive-definite symmetric polymer conformation tensor possesses a unique symmetric
square root that satisfies a closed evolution equation in the Oldroyd-B and FENE-P models …

On the role of the history force for inertial particles in turbulence

A Daitche - Journal of Fluid Mechanics, 2015 - cambridge.org
The history force is one of the hydrodynamic forces that act on a particle moving through a
fluid. It is an integral over the full time history of the particle's motion and significantly …

Adaptive Hermite spectral methods in unbounded domains

T Chou, S Shao, M Xia - Applied Numerical Mathematics, 2023 - Elsevier
A novel adaptive spectral method has been recently developed to numerically solve partial
differential equations (PDEs) in unbounded domains. To achieve accuracy and improve …