Strategies for efficient numerical implementation of hybrid multi-scale agent-based models to describe biological systems
Biologically related processes operate across multiple spatiotemporal scales. For
computational modeling methodologies to mimic this biological complexity, individual scale …
computational modeling methodologies to mimic this biological complexity, individual scale …
Harmonic BalanceMethods: A Review and Recent Developments
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 …
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
We introduce FastPM, a highly scalable approximated particle mesh (PM) N-body solver,
which implements the PM scheme enforcing correct linear displacement (1LPT) evolution …
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
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 …
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 …
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
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 …
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 …
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 …
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 …
fluid. It is an integral over the full time history of the particle's motion and significantly …
Adaptive Hermite spectral methods in unbounded domains
A novel adaptive spectral method has been recently developed to numerically solve partial
differential equations (PDEs) in unbounded domains. To achieve accuracy and improve …
differential equations (PDEs) in unbounded domains. To achieve accuracy and improve …