anisotropic diffusion in sph
play

Anisotropic Diffusion in SPH Sergei Biriukov Supervisor: Daniel - PowerPoint PPT Presentation

Dec 05, 2022 •131 likes •269 views

Anisotropic Diffusion in SPH Sergei Biriukov Supervisor: Daniel Price <latexit

  1. Anisotropic Diffusion in SPH Sergei Biriukov Supervisor: Daniel Price

  2. <latexit sha1_base64="/40ZQZl38+nSd3lsDdGbpaHusXc=">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</latexit> <latexit sha1_base64="/40ZQZl38+nSd3lsDdGbpaHusXc=">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</latexit> <latexit sha1_base64="/40ZQZl38+nSd3lsDdGbpaHusXc=">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</latexit> <latexit sha1_base64="p0hSre0Kf2P5CvIRgh8/t7+wSGM=">ACJ3icbVBNS8NAEN3Ur1q/oh69LFahXkoqgnoQC14ELxVaW2hKmWw37dLNJuxuhBLyc7z4V7yIqOjRf+KmLaitDwYe780wM8+LOFPacT6t3MLi0vJKfrWwtr6xuWVv79ypMJaENkjIQ9nyQFHOBG1opjltRZJC4Ha9IZXmd+8p1KxUNT1KdAPqC+YyANlLXvnR9CSRxI5CaAcf19IfrF9gV4DHwSW9UJfcAPTA85ObdKLi+lHXLjplZw8TypTUkRT1Lr2i9sLSRxQoQkHpdoVJ9KdJFtJOE0LbqxoBGQIfdo2VEBAVScZP5riQ6P0sB9KU0Ljsfp7IoFAqVHgmc7sVDXrZeJ/XjvW/lknYSKNRVksiPTQhzlLDPSYp0XxkCBDJzK2YDMAkp02BRNCZfbledI4Lp+XnduTYvVgmkYe7aF9VEIVdIq6BrVUAMR9ICe0Ct6sx6tZ+vd+pi05qzpzC76A+vrG53DpmU=</latexit> <latexit sha1_base64="p0hSre0Kf2P5CvIRgh8/t7+wSGM=">ACJ3icbVBNS8NAEN3Ur1q/oh69LFahXkoqgnoQC14ELxVaW2hKmWw37dLNJuxuhBLyc7z4V7yIqOjRf+KmLaitDwYe780wM8+LOFPacT6t3MLi0vJKfrWwtr6xuWVv79ypMJaENkjIQ9nyQFHOBG1opjltRZJC4Ha9IZXmd+8p1KxUNT1KdAPqC+YyANlLXvnR9CSRxI5CaAcf19IfrF9gV4DHwSW9UJfcAPTA85ObdKLi+lHXLjplZw8TypTUkRT1Lr2i9sLSRxQoQkHpdoVJ9KdJFtJOE0LbqxoBGQIfdo2VEBAVScZP5riQ6P0sB9KU0Ljsfp7IoFAqVHgmc7sVDXrZeJ/XjvW/lknYSKNRVksiPTQhzlLDPSYp0XxkCBDJzK2YDMAkp02BRNCZfbledI4Lp+XnduTYvVgmkYe7aF9VEIVdIq6BrVUAMR9ICe0Ct6sx6tZ+vd+pi05qzpzC76A+vrG53DpmU=</latexit> <latexit sha1_base64="p0hSre0Kf2P5CvIRgh8/t7+wSGM=">ACJ3icbVBNS8NAEN3Ur1q/oh69LFahXkoqgnoQC14ELxVaW2hKmWw37dLNJuxuhBLyc7z4V7yIqOjRf+KmLaitDwYe780wM8+LOFPacT6t3MLi0vJKfrWwtr6xuWVv79ypMJaENkjIQ9nyQFHOBG1opjltRZJC4Ha9IZXmd+8p1KxUNT1KdAPqC+YyANlLXvnR9CSRxI5CaAcf19IfrF9gV4DHwSW9UJfcAPTA85ObdKLi+lHXLjplZw8TypTUkRT1Lr2i9sLSRxQoQkHpdoVJ9KdJFtJOE0LbqxoBGQIfdo2VEBAVScZP5riQ6P0sB9KU0Ljsfp7IoFAqVHgmc7sVDXrZeJ/XjvW/lknYSKNRVksiPTQhzlLDPSYp0XxkCBDJzK2YDMAkp02BRNCZfbledI4Lp+XnduTYvVgmkYe7aF9VEIVdIq6BrVUAMR9ICe0Ct6sx6tZ+vd+pi05qzpzC76A+vrG53DpmU=</latexit> Diffusion in SPH ∂ T ∂ 2 T m b X r i ˆ r j − δ ij ) F ab ∂ t = r · ( K r T ) T ( r b )(5ˆ ∂ r i ∂ r j ≈ ρ b b Heat Conduction Radiative Transfer Gas-Dust Fraction

  3. Initial Isotropic Anisotropic ' ( ' ( ! = # ∗ 1 0 ! = 1 0 ' ' 0 1 0 0 ( (

  4. Question Isotropic Anisotropic

  5. Smoothing Length !"#$%&'() *+(# $ℎ( )ℎ"-( *. / 0 − )-'%2( .*# 3%..(#(2$ )4**$ℎ%25 '(25$ℎ . | – # 78 have only X – # 78 have two – all of the one non-zero non-zero # 78 components are component component not zero

  6. Good Outer Part – Good Kernel 1" Outer part more important! 2" Shapes are Shapes are Shapes are different… different. different. 3" …but errors are the same. %&'()* *&+,-./,-& 0ℎ.2&0 (3 4&+)&5 36)'/,()0. 8++(+ /&+90 3(+ :.25.',.) (2&+./(+.

  7. Understanding Brookshaw Method Brookshaw method a W = � 2( r · r W ) � 2 f 0 ( q ) r 2 = + ( r · r ) C ν h ν +2 q With Gaussian = The kernel itself is a − 2 q exp ( − q 2 ) exp ( − q 2 ) − 2 = 4 = 4 W f 2 nd derivative C ν h ν +2 h 2 h 2 q C ν h ν

  8. Isotropic Diffusion Operators 1" 2" 3" %&'()*+,&- &. / 0 − 2**&* 3+4ℎ *26)*7, 4& -8'92* &. -2+6ℎ9&*, . Cubic spline as kernel function. All dimensions.

Download Presentation
Download Policy: The content available on the website is offered to you 'AS IS' for your personal information and use only. It cannot be commercialized, licensed, or distributed on other websites without prior consent from the author. To download a presentation, simply click this link. If you encounter any difficulties during the download process, it's possible that the publisher has removed the file from their server.

Recommend

Discontinuous Galerkin Methods for anisotropic diffusion Praveen Chandrashekar

Discontinuous Galerkin Methods for anisotropic diffusion Praveen Chandrashekar

Discontinuous Galerkin Methods for anisotropic diffusion Praveen Chandrashekar praveen@tifrbng.res.in Center for Applicable Mathematics Tata Institute of Fundamental Research Bangalore-560065, India http://cpraveen.github.io Oberseminar,

858 views • 57 slides
Discontinuous Galerkin Methods for Anisotropic and Semi-Definite Diffusion with Advection Daniele

Discontinuous Galerkin Methods for Anisotropic and Semi-Definite Diffusion with Advection Daniele

The Continuous Problem DG Approximation Numerical Results Conclusion Discontinuous Galerkin Methods for Anisotropic and Semi-Definite Diffusion with Advection Daniele A. Di Pietro joint work with Alexandre Ern and Jean-Luc Guermond CERMICS,

638 views • 36 slides
ANISOTROPIC REACTION-DIFFUSION STEREO ALGORITHM Atsushi Nomura 1) Makoto Ichikawa 2) Koichi Okada

ANISOTROPIC REACTION-DIFFUSION STEREO ALGORITHM Atsushi Nomura 1) Makoto Ichikawa 2) Koichi Okada

ISDA 2011 / CORDOBA.ES 2011.11.23 ANISOTROPIC REACTION-DIFFUSION STEREO ALGORITHM Atsushi Nomura 1) Makoto Ichikawa 2) Koichi Okada 1) Hidetoshi Miike 1) Tatsunari Sakurai 2) Yoshiki Mizukami 1) 1) Yamaguchi University, Japan 2) Chiba University,

417 views • 15 slides
Fast Anisotropic Smoothing of Multi-Valued Images using Curvature-Preserving PDEs David

Fast Anisotropic Smoothing of Multi-Valued Images using Curvature-Preserving PDEs David

Fast Anisotropic Smoothing of Multi-Valued Images using Curvature-Preserving PDEs David Tschumperl CNRS UMR 6072 (GREYC/ENSICAEN) - Image Team MIA2006, Paris/France, Sept. 2006 Presentation Layout Diffusion PDEs for Multi-Valued

523 views • 51 slides
ANISOTROPIC EFFECT ANISOTROPIC EFFECT WHEN USING ISOTROPIC WHEN USING ISOTROPIC CONDUCTIVE

ANISOTROPIC EFFECT ANISOTROPIC EFFECT WHEN USING ISOTROPIC WHEN USING ISOTROPIC CONDUCTIVE

ANISOTROPIC EFFECT ANISOTROPIC EFFECT WHEN USING ISOTROPIC WHEN USING ISOTROPIC CONDUCTIVE ADHESIVES CONDUCTIVE ADHESIVES Jan Felba Wroclaw University of Technology, Poland Marcin Bereski AMEPOX Andrzej Mocicki Microelectronics, Ltd

324 views • 20 slides
Rotating Half Smoothing Filters, Image Rotating Half Smoothing Filters, Image Segmentation and

Rotating Half Smoothing Filters, Image Rotating Half Smoothing Filters, Image Segmentation and

Rotating Half Smoothing Filters, Image Rotating Half Smoothing Filters, Image Segmentation and Anisotropic Diffusion Segmentation and Anisotropic Diffusion Baptiste Magnier Baptiste Magnier http://www.lgi2p.ema.fr/~magnier/

851 views • 65 slides
Developing 3D Anisotropic Mechanics Developing 3D Anisotropic Mechanics Model of Powder

Developing 3D Anisotropic Mechanics Developing 3D Anisotropic Mechanics Model of Powder

Developing 3D Anisotropic Mechanics Developing 3D Anisotropic Mechanics Model of Powder Compaction Model of Powder Compaction Wenhai Wang Advisor: Dr. Antonios Zavaliangos Department of Materials Science &amp; Engineering 12-10-2004 1

654 views • 41 slides
Questions about Exercise 2? Lecture: Natural diffusion Introduction to the

Questions about Exercise 2? Lecture: Natural diffusion Introduction to the

Class overview today - November 11, 2019 Questions about Exercise 2? Lecture: Natural diffusion Introduction to the diffusion process Mathematical description of diffusion Hillslope diffusion processes Exercise 3:

846 views • 58 slides
Questions about Exercise 2? Lecture: Natural diffusion Introduction to the

Questions about Exercise 2? Lecture: Natural diffusion Introduction to the

Class overview today - November 12, 2018 Questions about Exercise 2? Lecture: Natural diffusion Introduction to the diffusion process Mathematical description of diffusion Hillslope diffusion processes Exercise 3:

688 views • 55 slides
c + = Diffusion Diffusion 2 6.82 10 -6 v c D c 10 -1 Equation

c + = Diffusion Diffusion 2 6.82 10 -6 v c D c 10 -1 Equation

! Diffusivity ! Diffusivity ! Diffusion Equation ! Diffusion Equation ! Diffusion to a Wall ! Diffusion to a Wall ! Deposition Velocity, Diffusion ! Deposition Velocity, Diffusion Boundary Layer, Diffusion Force Boundary Layer, Diffusion

515 views • 8 slides
Inhomogeneous materials can become homogeneous by diffusion. For an active diffusion to occur, the

Inhomogeneous materials can become homogeneous by diffusion. For an active diffusion to occur, the

Inhomogeneous materials can become homogeneous by diffusion. For an active diffusion to occur, the temperature should be high enough to overcome energy barriers to atomic motion. Interdiffusion and Self-diffusion Interdiffusion (or impurity

395 views • 25 slides
31/10/2019 Diffusion General Note. Atomic diffusion is a process whereby the random

31/10/2019 Diffusion General Note. Atomic diffusion is a process whereby the random

31/10/2019 Diffusion General Note. Atomic diffusion is a process whereby the random thermally-activated hopping of Diffusion is a flux of matter in which the atoms or molecules of a certain atoms in a solid results in the net transport of

560 views • 28 slides
From normal to anomalous deterministic diffusion Part 1: Normal deterministic diffusion Rainer

From normal to anomalous deterministic diffusion Part 1: Normal deterministic diffusion Rainer

Outline Chaotic maps Deterministic diffusion End From normal to anomalous deterministic diffusion Part 1: Normal deterministic diffusion Rainer Klages Queen Mary University of London, School of Mathematical Sciences Sperlonga, 20-24

465 views • 29 slides
A dynamic network loading model for anisotropic and congested pedestrian flows Flurin S.

A dynamic network loading model for anisotropic and congested pedestrian flows Flurin S.

TGF 15 A dynamic network loading model for anisotropic and congested pedestrian flows Flurin S. Hnseler, William H.K. Lam, Michel Bierlaire, Gael Lederrey, Marija Nikoli Delft, October 30, 2015 Unsteady, anisotropic and congested flow

268 views • 24 slides
Anisotropic finite element methods with their applications polynomial From the viewpoint of

Anisotropic finite element methods with their applications polynomial From the viewpoint of

Backgrounds Mathematical theory of anisotropic FEM Talk from Netwons interpolation Anisotropic finite element methods with their applications polynomial From the viewpoint of Girault- Raviart interpolation From the viewpoint of

825 views • 64 slides
NON-SYMMETRIC FRACTIONAL DIFFUSION NON-SYMMETRIC FRACTIONAL DIFFUSION AS A SPECIAL CASE OF AS A

NON-SYMMETRIC FRACTIONAL DIFFUSION NON-SYMMETRIC FRACTIONAL DIFFUSION AS A SPECIAL CASE OF AS A

NON-SYMMETRIC FRACTIONAL DIFFUSION NON-SYMMETRIC FRACTIONAL DIFFUSION AS A SPECIAL CASE OF AS A SPECIAL CASE OF NONLOCAL CONVECTION-DIFFUSION NONLOCAL CONVECTION-DIFFUSION Marta D'Elia, Center for Computing Research, SNL, mdelia@sandia.gov M.

1.13k views • 75 slides
Extreme Machine Learning with GPUs John Canny Computer Science Division University of

Extreme Machine Learning with GPUs John Canny Computer Science Division University of

Extreme Machine Learning with GPUs John Canny Computer Science Division University of California, Berkeley GTC, March, 2014 Big Data Event and text data: Microsoft Yahoo Ebay Quantcast MOOC logs Social Media Health Data

949 views • 42 slides
Future of Auditing: Audit Quality, Implementation and Innovation Commentary by: Warren Allen ,

Future of Auditing: Audit Quality, Implementation and Innovation Commentary by: Warren Allen ,

Future of Auditing: Audit Quality, Implementation and Innovation Commentary by: Warren Allen , Partner, Ernst &amp; Young, New Zealand IFAC Board Member 17 May 2010 Commentary Agenda Practitioners view on Arnolds presentation

442 views • 5 slides
MOCHA: Federated Multi-Task Learning NIPS 17 Virginia Smith Stanford / CMU Chao-Kai

MOCHA: Federated Multi-Task Learning NIPS 17 Virginia Smith Stanford / CMU Chao-Kai

MOCHA: Federated Multi-Task Learning NIPS 17 Virginia Smith Stanford / CMU Chao-Kai Chiang USC Maziar Sanjabi USC Ameet Talwalkar CMU MACHINE LEARNING WORKFLOW data &amp; problem machine learning model n optimization

1.71k views • 35 slides
Bits and Bytes At the smallest scale in the computer, information is stored as bits and bytes. In

Bits and Bytes At the smallest scale in the computer, information is stored as bits and bytes. In

Bits and Bytes At the smallest scale in the computer, information is stored as bits and bytes. In this section, we'll look at how that works. Bit Bit, like an atom, the smallest unit of storage A bit stores just a 0 or 1 &quot;In the

302 views • 9 slides
Binder tude du mcanisme de communication interprocessus d'Android et de ses vulnrabilits

Binder tude du mcanisme de communication interprocessus d'Android et de ses vulnrabilits

Binder tude du mcanisme de communication interprocessus d'Android et de ses vulnrabilits - Binder IPC and its vulnerabilities Prsent 06/03/2020 Pour THCON 2020 Par Jean-Baptiste Cayrou Who I am Jean-Baptiste Cayrou ( @jbcayrou )

1.63k views • 97 slides
DVS, GPFS and External Lustre at NERSC How Its Working on Hopper Tina Butler, Rei Chi Lee,

DVS, GPFS and External Lustre at NERSC How Its Working on Hopper Tina Butler, Rei Chi Lee,

DVS, GPFS and External Lustre at NERSC How Its Working on Hopper Tina Butler, Rei Chi Lee, Gregory Butler 05/25/11 CUG 2011 1 NERSC is the Primary Computing Center for DOE Office of Science NERSC serves a large population

589 views • 26 slides
NAT Behavioral Requirements for TCP Saikat Guha, Kaushik Biswas, Bryan Ford, Paul Francis,

NAT Behavioral Requirements for TCP Saikat Guha, Kaushik Biswas, Bryan Ford, Paul Francis,

NAT Behavioral Requirements for TCP Saikat Guha, Kaushik Biswas, Bryan Ford, Paul Francis, Senthil Sivakumar, Pyda Srisuresh draft-ietf-behave-tcp-01 IETF 66 Guha et al. draft-ietf-behave-tcp-01 Changes Since -00 Now a standalone document

804 views • 20 slides
Efficient Data Management and Statistics with Zero-Copy Integration Jonathan Lajus &amp; Hannes

Efficient Data Management and Statistics with Zero-Copy Integration Jonathan Lajus &amp; Hannes

Efficient Data Management and Statistics with Zero-Copy Integration Jonathan Lajus &amp; Hannes Mhleisen SSDBM 2014, 2014-06-30 Collect data Bottleneck, thanks David! Statistical Toolkit Filter, transform Load data Analyze &amp; Plot

436 views • 20 slides

More recommend