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An adaptive discretization of incompressible flow using a multitude of moving Cartesian grids

R. Elliot English, Linhai Qiu, Yue Yu, Ronald Fedkiw
2013 Journal of Computational Physics  
Internal curved boundaries such as at solid interfaces are handled using a simple immersed boundary approach which is directly applied to the Voronoi mesh in both the viscosity and pressure solves.  ...  We present a novel method for discretizing the incompressible Navier-Stokes equations on a multitude of moving and overlapping Cartesian grids each with an independently chosen cell size to address adaptivity  ...  The two most well known are the Particle-In-Cell method (PIC) (see [30] ) and the Fluid-Implicit Particle method (FLIP) (see [11, 10] ) which use Lagrangian particles for advection and a background grid  ... 
doi:10.1016/j.jcp.2013.07.032 fatcat:y76cq2c7wrghnazo7vigdb54um

Some numerical studies of interface advection properties of level set method

A. Salih, S. Ghosh Moulic
2009 Sadhana (Bangalore)  
For the solution of level set equation we have employed first-order upwind scheme, MacCormack method, second-order ENO scheme, and fifth-order WENO scheme.  ...  Finer mesh must be used in such situations to reduce numerical diffusion.  ...  An hybrid method combining the level set method with immersed interface method of LeVeque & Li (1994) was developed by Hou et al (1997) .  ... 
doi:10.1007/s12046-009-0013-1 fatcat:3urlchrzfrahlgrjrtrsgv7qrq

Continuous-Scale Kinetic Fluid Simulation

2018 IEEE Transactions on Visualization and Computer Graphics  
Our simulation results with applications to smoke animations show the benefits of our method, with comparisons for justification and verification.  ...  This effectively makes our method suitable for simulating turbulent flows with arbitrary geometrical boundaries.  ...  To enhance the simulation for boundary layer induced smoke motion, we employ the method of Zhang et al.  ... 
doi:10.1109/tvcg.2018.2859931 pmid:30047885 fatcat:7oaindn32nb65a7qr2fewi4wxm

Synthetic turbulence using artificial boundary layers

Tobias Pfaff, Nils Thuerey, Andrew Selle, Markus Gross
2009 ACM Transactions on Graphics  
We sample these regions with vortex particles, and simulate the further dynamics of the vortices based on these particles.  ...  Figure 1 : Our algorithm allows us to precompute detailed boundary layer data and efficiently reuse it for new simulations.  ...  Acknowledgements The authors would like to thank the SIG-GRAPH Asia reviewers for their comment and suggestions. Tobias Pfaff is supported by the ETH grant TH-23 07-3.  ... 
doi:10.1145/1618452.1618467 fatcat:kolskjklh5brfawv7ttzlbfvbu

Synthetic turbulence using artificial boundary layers

Tobias Pfaff, Nils Thuerey, Andrew Selle, Markus Gross
2009 ACM SIGGRAPH Asia 2009 papers on - SIGGRAPH Asia '09  
We sample these regions with vortex particles, and simulate the further dynamics of the vortices based on these particles.  ...  Figure 1 : Our algorithm allows us to precompute detailed boundary layer data and efficiently reuse it for new simulations.  ...  Acknowledgements The authors would like to thank the SIG-GRAPH Asia reviewers for their comment and suggestions. Tobias Pfaff is supported by the ETH grant TH-23 07-3.  ... 
doi:10.1145/1661412.1618467 fatcat:amnwfrqkujhhvewx7ph5lgb3re

Comparisons of Dynamic Landslide Models on GIS Platforms

Yuming Wu, Aohua Tian, Hengxing Lan
2022 Applied Sciences  
Numerical simulation is one of the methods to assess landslide movement processes, which is beneficial for engineering design and urban planning.  ...  The landslide type refers to several forms of mass wasting associated with a wide range of ground movements, which guides establishing dynamic models and numerical schemes on GIS platforms and helps us  ...  Conflicts of Interest: The authors declare no conflict of interest.  ... 
doi:10.3390/app12063093 fatcat:f2nz4a7v5jadvnzfm535g6zq6i

View-Dependent Multiscale Fluid Simulation

Yue Gao, Chen-Feng Li, Bo Ren, Shi-Min Hu
2013 IEEE Transactions on Visualization and Computer Graphics  
Also, as high-frequency fluid motions are distinguished from low-frequency motions in the simulation, the numerical dissipation is effectively reduced.  ...  Then, depending on the distance to the viewer, the fluid domain is divided into a sequence of nested simulation partitions.  ...  Instead of adding noise, Yoon et al. [19] used the vortex particle method [4] to directly generate a high-resolution turbulent flow, and Rasmussen et al.  ... 
doi:10.1109/tvcg.2012.117 pmid:22566469 fatcat:5zrqrr23irh55ox5tjo26537ym

Fast animation of turbulence using energy transport and procedural synthesis

Rahul Narain, Jason Sewall, Mark Carlson, Ming C. Lin
2008 ACM SIGGRAPH Asia 2008 papers on - SIGGRAPH Asia '08  
Our method is an order of magnitude faster than full numerical simulation of equivalent resolution, and requires no manual direction.  ...  From the large-scale flow simulated by the solver, we model the production and behavior of turbulent energy using a physically motivated energy model.  ...  Acknowledgements We would like to thank Ted Kim, Ron Henderson and the anonymous reviewers for their valuable suggestions.  ... 
doi:10.1145/1457515.1409119 fatcat:i5zcyx76kfghvpzfra2khivhty

Assessment of technology for aircraft development

J. S. Shang
1995 Journal of Aircraft  
., and Moin, P., “Direct Numerical Simulation of Transition and Turbulence in a Spatially Evolving Boundary Layer,” AIAA 10th CFD Conference (Honolulu, HI), 1991, pp. 890-914 (AIAA Paper 91-1607).  ...  ‘eJameson, A., “Numerical Wind Tunnel—Vision or Reality,” AIAA Paper 93-3021, July 1993. '’"MacCormack, R., ““A Perspective on a Quarter Century of CFD Research,” AIAA Paper 93-3291, July 1993.  ... 
doi:10.2514/3.46763 fatcat:2zcf25wllrakzg53psnp5rh7eq

Mathematical modeling of liquid phase migration in solid–liquid mixtures: Application to the sintering of functionally graded WC–Co composites

Peng Fan, Zhigang Zak Fang, H.Y. Sohn
2007 Acta Materialia  
The methodology and techniques described in this paper can be applied to simulate and predict the kinetics of LPM during liquid phase sintering and the composition gradients as the result of LPM.  ...  To date, there have been few studies that focus on the LPM phenomenon, partially because it is a complex process that involves mass transport with moving boundaries and changing volumes.  ...  Acknowledgements The authors wish to thank the US Department of Energy, Industrial Materials of the Future Program, for its financial support.  ... 
doi:10.1016/j.actamat.2007.01.015 fatcat:qu3326cnbfcfpcxqt3f6wbplmi

Numerical Stabilization of the Melt Front for Laser Beam Cutting [chapter]

Torsten Adolph, Willi Schönauer, Markus Niessen, Wolfgang Schulz
2010 Numerical Mathematics and Advanced Applications 2009  
We develop a hybrid scheme consisting of a combination of a second order MUSCL scheme and a high order finite difference scheme.  ...  The resulting linear systems are solved alternatively by the Multigrid method and Krylov subspace methods. We treat two types of boundary conditions: Dirichlet and natural boundary condition.  ...  The finite element immersed boundary method: model, stability, and numerical results The Immersed Boundary Method (IBM) has been designed by Peskin for the modelingand the numerical approximation of fluid-structure  ... 
doi:10.1007/978-3-642-11795-4_6 fatcat:nx4nvuxaxfbcdjknopny53ck5e

Level set method for computational multi-fluid dynamics: A review on developments, applications and analysis

ATUL SHARMA
2015 Sadhana (Bangalore)  
In the second part of this article, LSM method based Computational Multi-Fluid Dynamics (CMFD) applications and analysis are reviewed for four different types of multi-phase flow: separated and parallel  ...  In the last twenty years, LSM has established itself as a method which is easy to program and is accurate as well as computationally-efficient.  ...  There are two types of FT-LSM: particle-LSM (Enright et al 2002) and level contour reconstruction method (LCRM) Juric 2002, 2009 ); former uses some idea of FT and the latter uses some idea of LSM.  ... 
doi:10.1007/s12046-014-0329-3 fatcat:izxhxqvksvbgpa4mvsyt4amqtm

Time-Domain Simulation of Ultrasound Propagation in a Tissue-Like Medium Based on the Resolution of the Nonlinear Acoustic Constitutive Relations

Nóe Jiménez, Francisco Camarena, Javier Redondo, Víctor Sánchez-Morcillo, Yi Hou, Elisa E. Konofagou
2016 Acta Acustica united with Acustica  
The accuracy of the method is discussed by comparing the proposed simulation solutions to one-dimensional analytical ones, to k-space numerical solutions and also to experimental data from a focused beam  ...  A computational technique based on artificial relaxation is included to correct the non-negligible numerical dispersion of the numerical method and to improve stability when shock waves are present.  ...  Acknowledgement The authors acknowledge financial support from the FPI program of the Universitat Politècnica de Va lència.  ... 
doi:10.3813/aaa.919002 fatcat:5emwfiyxlvej5dxy7tqye6ewnu

On the accuracy of finite-volume schemes for fluctuating hydrodynamics

Aleksandar Donev, Eric Vanden-Eijnden, Alejandro Garcia, John Bell
2010 Communications in Applied Mathematics and Computational Science  
Previous studies of numerical methods for the LLNS equations focused primarily on measuring variances and correlations computed at equilibrium and for selected non-equilibrium flows.  ...  This new approach provides a better characterization of the accuracy of a spatio-temporal discretization as a function of wavenumber and frequency, allowing us to distinguish between behavior at long wavelengths  ...  Acknowledgments The authors wish to thank Berni Alder and Jonathan Goodman for helpful discussions, and Paul Atzberger for inspiring perspectives on the discrete fluctuation dissipation relation and a  ... 
doi:10.2140/camcos.2010.5.149 fatcat:j3ytwo5jtfccnglwdn4rltobsy

On the Accuracy of Finite-Volume Schemes for Fluctuating Hydrodynamics [article]

A. Donev, E. Vanden-Eijnden, A. L. Garcia, J. B. Bell
2009 arXiv   pre-print
Previous studies of numerical methods for the LLNS equations focused primarily on measuring variances and correlations computed at equilibrium and for selected non-equilibrium flows.  ...  This new approach provides a better characterization of the accuracy of a spatio-temporal discretization as a function of wavenumber and frequency, allowing us to distinguish between behavior at long wavelengths  ...  Acknowledgments The authors wish to thank Berni Alder and Jonathan Goodman for helpful discussions, and Paul  ... 
arXiv:0906.2425v2 fatcat:rzkjhhjlszfq3axx6avkqmhrim
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