Adaptive mesh, finite volume modeling of marine ice sheets
Continental scale marine ice sheets such as the present day West Antarctic Ice Sheet are
strongly affected by highly localized features, presenting a challenge to numerical models …
strongly affected by highly localized features, presenting a challenge to numerical models …
Fluid simulation on neural flow maps
We introduce Neural Flow Maps, a novel simulation method bridging the emerging
paradigm of implicit neural representations with fluid simulation based on the theory of flow …
paradigm of implicit neural representations with fluid simulation based on the theory of flow …
Mushy-layer growth and convection, with application to sea ice
AJ Wells, JR Hitchen… - … Transactions of the …, 2019 - royalsocietypublishing.org
Sea ice is a reactive porous medium of ice crystals and liquid brine, which is an example of
a mushy layer. The phase behaviour of sea ice controls the evolving material properties and …
a mushy layer. The phase behaviour of sea ice controls the evolving material properties and …
[PDF][PDF] Chombo software package for AMR applications design document
M Adams - 2014 - escholarship.org
In many problems in partial differential equations, one is confronted with problems having
multiple length scales and strong spatial localizations. Examples include nonlinear systems …
multiple length scales and strong spatial localizations. Examples include nonlinear systems …
Immersed boundary model of aortic heart valve dynamics with physiological driving and loading conditions
BE Griffith - International journal for numerical methods in …, 2012 - Wiley Online Library
The immersed boundary (IB) method is a mathematical and numerical framework for
problems of fluid–structure interaction, treating the particular case in which an elastic …
problems of fluid–structure interaction, treating the particular case in which an elastic …
A high-order finite-volume method for conservation laws on locally refined grids
P McCorquodale, P Colella - Communications in Applied Mathematics and …, 2011 - msp.org
We present a fourth-order accurate finite-volume method for solving time-dependent
hyperbolic systems of conservation laws on Cartesian grids with multiple levels of …
hyperbolic systems of conservation laws on Cartesian grids with multiple levels of …
Simulating the fluid dynamics of natural and prosthetic heart valves using the immersed boundary method
The immersed boundary method is both a general mathematical framework and a particular
numerical approach to problems of fluid-structure interaction. In the present work, we …
numerical approach to problems of fluid-structure interaction. In the present work, we …
A strictly conservative Cartesian cut-cell method for compressible viscous flows on adaptive grids
A Cartesian cut-cell method which allows the solution of two-and three-dimensional viscous,
compressible flow problems on arbitrarily refined graded meshes is presented. The finite …
compressible flow problems on arbitrarily refined graded meshes is presented. The finite …
[PDF][PDF] Chombo software package for AMR applications design document
In many problems in partial differential equations, one is confronted with problems having
multiple length scales and strong spatial localizations. Examples include nonlinear systems …
multiple length scales and strong spatial localizations. Examples include nonlinear systems …
An accurate and efficient method for the incompressible Navier–Stokes equations using the projection method as a preconditioner
BE Griffith - Journal of Computational Physics, 2009 - Elsevier
The projection method is a widely used fractional-step algorithm for solving the
incompressible Navier–Stokes equations. Despite numerous improvements to the …
incompressible Navier–Stokes equations. Despite numerous improvements to the …