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Photorealistic visualization and fluid animation: coupling of Maya with a two-phase Navier-Stokes fluid solver
Springer 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 Corneum
Springer 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 splines
Springer 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 dynamics
Springer 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-reinforcement
Springer 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 systems
Springer 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 simulations
Springer 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 surfaces
Springer 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 b...... hiện toàn bộ
Adaptive finite volume methods for displacement problems in porous media
Springer 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 processing
Springer 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
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