Photorealistic visualization and fluid animation: coupling of Maya with a two-phase Navier-Stokes fluid solverSpringer Science and Business Media LLC - Tập 14 - Trang 371-383 - 2013
Peter Zaspel, Michael Griebel
We have coupled the three-dimensional solver for the two-phase incompressible
Navier-Stokes equations NaSt3DGPF with Autodesk Maya. Maya is the industry
standard software framework for the creation of three-dimensional animations.
The parallel level-set-based fluid solver NaSt3DGPF simulates the interaction of
two fluids like air and water. It uses high-order finite difference
discretization metho... hiện toàn bộ
A Geometry Model for the Simulation of Drug Diffusion through the Stratum CorneumSpringer Science and Business Media LLC - Tập 9 - Trang 117-130 - 2006
D. Feuchter, M. Heisig, G. Wittum
We present a three-dimensional geometry model with tetrakaidecahedra for the
biphasic model stratum corneum (SC) membrane ΩSC consisting of corneocytes
embedded in a lipid matrix. Two practical domains for ΩSC are realized: the
simple model SC-membrane ΩsSC and a realistic model SC-membrane ΩrSC with
dimensions for abdominal human SC. The new geometry model uses tetrakaidecahedra
as basic units. I... hiện toàn bộ
Smoothing large data sets using discrete thin plate splinesSpringer Science and Business Media LLC - Tập 9 - Trang 185-195 - 2006
Linda Stals, Stephen Roberts
Traditional thin plate splines use radial basis functions and require the
solution of a dense linear system of equations whose size is proportional to the
number of data points. Instead of radial basis functions we present a method
based on the use of polynomials with local support defined on finite element
grids. This method is more efficient when dealing with large data sets as the
resulting sys... hiện toàn bộ
Adaptive finite element simulation of ventricular fibrillation dynamicsSpringer Science and Business Media LLC - Tập 12 - Trang 201-205 - 2008
Peter Deuflhard, Bodo Erdmann, Rainer Roitzsch, Glenn Terje Lines
The paper communicates simulation results (computations and visualizations) for
the dynamics of ventricular fibrillation caused by irregular excitation in the
frame of the monodomain model with an action potential model due to
Aliev–Panfilov for a human 3D geometry. The numerical solution of this
challenging multiscale reaction–diffusion problem is attacked by algorithms
which are fully adaptive i... hiện toàn bộ
The spherical design algorithm in the numerical simulation of biological tissues with statistical fibre-reinforcementSpringer Science and Business Media LLC - Tập 18 - Trang 157-184 - 2017
Melania Carfagna, Alfio Grillo
Nowadays, the description of complex physical systems, such as biological
tissues, calls for highly detailed and accurate mathematical models. These, in
turn, necessitate increasingly elaborate numerical methods as well as dedicated
algorithms capable of resolving each detail which they account for. Especially
when commercial software is used, the performance of the algorithms coded by the
user mu... hiện toàn bộ
An efficient algebraic multigrid method for solving optimality systemsSpringer Science and Business Media LLC - Tập 7 - Trang 183-188 - 2004
Alfio Borzì, Giuseppe Borzì
An algebraic multigrid method (AMG) for solving convection-diffusion optimality
systems is presented. Results of numerical experiments demonstrate robustness of
the AMG scheme with respect to changes of the weight of the cost of the control
and show that the computational performance of the proposed AMG scheme is
comparable to that of AMG applied to single scalar equations.
Multigrid analysis of spatially resolved hepatitis C virus protein simulationsSpringer Science and Business Media LLC - Tập 17 - Trang 235-253 - 2016
Markus M. Knodel, Arne Nägel, Sebastian Reiter, Martin Rupp, Andreas Vogel, Paul Targett-Adams, Eva Herrmann, Gabriel Wittum
Viruses are a major challenge to human health and prosperity. This holds true
for various viruses which are either threatening Europe (like Dengue and Yellow
fever) or which are currently causing big health problems like the hepatitis C
virus (HCV). HCV causes chronic liver diseases like cirrhosis and cancer and is
the main reason for liver transplantations. Exploring biophysical properties of
vir... hiện toàn bộ
Multigrid methods for discrete elliptic problems on triangular surfacesSpringer Science and Business Media LLC - Tập 11 - Trang 251-257 - 2008
Ralf Kornhuber, Harry Yserentant
We construct and analyze multigrid methods for discretized self-adjoint elliptic
problems on triangular surfaces in $${\mathbb{R}^3}$$ . The methods involve the
same weights for restriction and prolongation as in the case of planar
triangulations and therefore are easy to implement. We prove logarithmic bounds
of the convergence rates with constants solely depending on the ellipticity, the
smoothe... hiện toàn bộ
Adaptive finite volume methods for displacement problems in porous mediaSpringer Science and Business Media LLC - Tập 5 - Trang 95-106 - 2002
David Bürkle, Mario Ohlberger
In this paper we consider adaptive numerical simulation of miscible and
immiscible displacement problems in porous media, which are modeled by single
and two phase flow equations. Using the IMPES formulation of the two phase flow
equation both problems can be treated in the same numerical framework. We
discretise the equations by an operator splitting technique where the flow
equation is approxima... hiện toàn bộ
Adaptivity in 3D image processingSpringer Science and Business Media LLC - Tập 4 - Trang 21-30 - 2001
Eberhard Bänsch, Karol Mikula
We present an adaptive numerical scheme for computing the nonlinear partial
differential equations arising in 3D image multiscale analysis. The scheme is
based on a semi-implicit scale discretization and on an adaptive finite element
method in 3D-space. Successive coarsening of the computational grid is used for
increasing the efficiency of the numerical procedure. L∞-stability of the
semi–discret... hiện toàn bộ