Materials: Droz, Chopard (book) FHP paper (print)
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1 Materials: Droz, Chopard (book) FHP paper (print)
2 Computer simulations of fluid dynamics Lecture 2: HPP, FHP Models Maciej Matyka
3 Announcement Today's class: 12:15, 518 ***be there***
4 FHP model (cellular automata) LatticeGasCUDA.mp4 By Lucas Campos
5 Poll results CFD 4/10 People know math well Connection to fluid dynamics is loose One person knows ~Navier-Stokes eqs. Archimedes Law is more or less known Visualization software is not known (Mathematica, Gnuplot, Python?) 1 VisIt Motivations: various, from nothing, coupled fluid-dem solvers to general want to learn fluid solvers
6 Lecture goal In: I don't know what CFD is, and I have no idea how to write simple fluid solver. Out: I know how to write fluid solver using CFD, techniques, I know a few methods, I know how they work and what they are capable of. I know how to use visualization tool(s), I have two codes ready to use (written by myself). I know there are more sophisticated methods and software around that I can use for more complicated problems.
7 Lecture list 1 Motivation (part 1): Fluid dynamics, Turbulence, Lattice Gas automata (our work, technical): FHP5 (Diffusion), HPP, FHP models, part 1, Lattice Gas automata (technical, review): FHP, review, part 2, (17.03 Lecture cancelled) 4 Motivation (part 2): Review fluid dynamics & effects (24.03) 5 CFD in Wrocław, Workshop, 31 double lecture ( 9:30 14:00 ) 6 Navier-Stokes equations (origin, math, analytics, millenium problem) 7 Motivation, Navier-Stokes solvers: review 8 Classification of PDE + solutions (Waves, Laplace, Poisson, Finite Differences) 9 Motivation,The MAC Method (Finite Difference scheme + review) The MAC Method (Implementation) 12 Finite Volume Methods (Overview, discretization, Algorithms, SIMPLE(R)) 14 Motivation, Smoothed Particle Hydrodynamics (SPH), Review, Theory Implementation 15 Motivation, LBM, Review, Theory Implementation 16 Motivation, Software: Paraview, VisIT, OpenFOAM, Palabos, Sailfish etc. (Review) The MAC Method (Free surfaces, markers, boundary conditions)
8 Lecture list 1 Motivation (part 1): Fluid dynamics, Turbulence, Lattice Gas automata (our work, technical): FHP5 (Diffusion), HPP, FHP models, part 1, Lattice Gas automata (technical, review): FHP, review, part 2, (17.03 class cancelled) 4 Motivation (part 2): Review fluid dynamics & effects (24.03) 5 CFD in Wrocław, Workshop, 31 double lecture ( 9:30 14:00 ) 6 Navier-Stokes equations (origin, math, analytics, millenium problem) 7 Motivation, Navier-Stokes solvers: review 8 Classification of PDE + solutions (Waves, Laplace, Poisson, Finite Differences) 9 Motivation,The MAC Method (Finite Difference scheme + review) The MAC Method (Implementation) 12 Finite Volume Methods (Overview, discretization, Algorithms, SIMPLE(R)) 14 Motivation, Smoothed Particle Hydrodynamics (SPH), Review, Theory Implementation 15 Motivation, LBM, Review, Theory Implementation 16 Motivation, Software: Paraview, VisIT, OpenFOAM, Palabos, Sailfish etc. (Review) The MAC Method (Free surfaces, markers, boundary conditions)
9 Lecture list 1 Motivation (part 1): Fluid dynamics, Turbulence, Lattice Gas automata (our work, technical): FHP5 (Diffusion), HPP, FHP models, part 1, Lattice Gas automata (technical, review): FHP, review, part 2, (17.03 class cancelled) 4 Motivation (part 2): Review fluid dynamics & effects (24.03) 5 CFD in Wrocław, Workshop, 31 double lecture ( 9:30 14:00 ) 6 Navier-Stokes equations (origin, math, analytics, millenium problem) 7 Motivation, Navier-Stokes solvers: review 8 Classification of PDE + solutions (Waves, Laplace, Poisson, Finite Differences) 9 Motivation,The MAC Method (Finite Difference scheme + review) The MAC Method (Implementation) 12 Finite Volume Methods (Overview, discretization, Algorithms, SIMPLE(R)) 14 Motivation, Smoothed Particle Hydrodynamics (SPH), Review, Theory Implementation 15 Motivation, LBM, Review, Theory Implementation 16 Motivation, Software: Paraview, VisIT, OpenFOAM, Palabos, Sailfish etc. (Review) The MAC Method (Free surfaces, markers, boundary conditions)
10 Lecture list 1 Motivation (part 1): Fluid dynamics, Turbulence, Lattice Gas automata (our work, technical): FHP5 (Diffusion), HPP, FHP models, part 1, Lattice Gas automata (technical, review): FHP, review, part 2, (17.03 class cancelled) 4 Motivation (part 2): Review fluid dynamics & effects (24.03) 5 CFD in Wrocław, Workshop, 31 double lecture ( 9:30 14:00 ) 6 Navier-Stokes equations (origin, math, analytics, millenium problem) 7 Motivation, Navier-Stokes solvers: review 8 Classification of PDE + solutions (Waves, Laplace, Poisson, Finite Differences) 9 Motivation,The MAC Method (Finite Difference scheme + review) The MAC Method (Implementation) 12 Finite Volume Methods (Overview, discretization, Algorithms, SIMPLE(R)) 14 Motivation, Smoothed Particle Hydrodynamics (SPH), Review, Theory Implementation 15 Motivation, LBM, Review, Theory Implementation 16 Motivation, Software: Paraview, VisIT, OpenFOAM, Palabos, Sailfish etc. (Review) The MAC Method (Free surfaces, markers, boundary conditions)
11 Lecture list 1 Motivation (part 1): Fluid dynamics, Turbulence, Lattice Gas automata (our work, technical): FHP5 (Diffusion), HPP, FHP models, part 1, Lattice Gas automata (technical, review): FHP, review, part 2, (17.03 class cancelled) 4 Motivation (part 2): Review fluid dynamics & effects (24.03) 5 CFD in Wrocław, Workshop, 31 double lecture ( 9:30 14:00 ) 6 Navier-Stokes equations (origin, math, analytics, millenium problem) 7 Motivation, Navier-Stokes solvers: review 8 Classification of PDE + solutions (Waves, Laplace, Poisson, Finite Differences) 9 Motivation,The MAC Method (Finite Difference scheme + review) The MAC Method (Implementation) 12 Finite Volume Methods (Overview, discretization, Algorithms, SIMPLE(R)) 14 Motivation, Smoothed Particle Hydrodynamics (SPH), Review, Theory Implementation 15 Motivation, LBM, Review, Theory Implementation 16 Motivation, Software: Paraview, VisIT, OpenFOAM, Palabos, Sailfish etc. (Review) The MAC Method (Free surfaces, markers, boundary conditions)
12 Lecture list 1 Motivation (part 1): Fluid dynamics, Turbulence, Lattice Gas automata (our work, technical): FHP5 (Diffusion), HPP, FHP models, part 1, Lattice Gas automata (technical, review): FHP, review, part 2, (17.03 class cancelled) 4 Motivation (part 2): Review fluid dynamics & effects (24.03) 5 CFD in Wrocław, Workshop, 31 double lecture ( 9:30 14:00 ) 6 Navier-Stokes equations (origin, math, analytics, millenium problem) 7 Motivation, Navier-Stokes solvers: review 8 Classification of PDE + solutions (Waves, Laplace, Poisson, Finite Differences) 9 Motivation,The MAC Method (Finite Difference scheme + review) The MAC Method (Implementation) 12 Finite Volume Methods (Overview, discretization, Algorithms, SIMPLE(R)) 14 Motivation, Smoothed Particle Hydrodynamics (SPH), Review, Theory Implementation 15 Motivation, LBM, Review, Theory Implementation 16 Motivation, Software: Paraview, VisIT, OpenFOAM, Palabos, Sailfish etc. (Review) The MAC Method (Free surfaces, markers, boundary conditions)
13 Lecture list 1 Motivation (part 1): Fluid dynamics, Turbulence, Lattice Gas automata (our work, technical): FHP5 (Diffusion), HPP, FHP models, part 1, Lattice Gas automata (technical, review): FHP, review, part 2, (17.03 class cancelled) 4 Motivation (part 2): Review fluid dynamics & effects (24.03) 5 CFD in Wrocław, Workshop, 31 double lecture ( 9:30 14:00 ) 6 Navier-Stokes equations (origin, math, analytics, millenium problem) 7 Motivation, Navier-Stokes solvers: review 8 Classification of PDE + solutions (Waves, Laplace, Poisson, Finite Differences) 9 Motivation,The MAC Method (Finite Difference scheme + review) The MAC Method (Implementation) 12 Finite Volume Methods (Overview, discretization, Algorithms, SIMPLE(R)) 14 Motivation, Smoothed Particle Hydrodynamics (SPH), Review, Theory Implementation 15 Motivation, LBM, Review, Theory Implementation 16 Motivation, Software: Paraview, VisIT, OpenFOAM, Palabos, Sailfish etc. (Review) The MAC Method (Free surfaces, markers, boundary conditions)
14 Lecture list 1 Motivation (part 1): Fluid dynamics, Turbulence, Lattice Gas automata (our work, technical): FHP5 (Diffusion), HPP, FHP models, part 1, Lattice Gas automata (technical, review): FHP, review, part 2, (17.03 class cancelled) 4 Motivation (part 2): Review fluid dynamics & effects (24.03) 5 CFD in Wrocław, Workshop, 31 double lecture ( 9:30 14:00 ) 6 Navier-Stokes equations (origin, math, analytics, millenium problem) 7 Motivation, Navier-Stokes solvers: review 8 Classification of PDE + solutions (Waves, Laplace, Poisson, Finite Differences) 9 Motivation,The MAC Method (Finite Difference scheme + review) The MAC Method (Implementation) 12 Finite Volume Methods (Overview, discretization, Algorithms, SIMPLE(R)) 14 Motivation, Smoothed Particle Hydrodynamics (SPH), Review, Theory Implementation 15 Motivation, LBM, Review, Theory Implementation 16 Motivation, Software: Paraview, VisIT, OpenFOAM, Palabos, Sailfish etc. (Review) The MAC Method (Free surfaces, markers, boundary conditions)
15 CFD in Wrocław 31. March, Room:?, M. Borna 9
16 5 speakers 4 hours What, who, where? (CFD in Wrocław) 1st event of this kind here! UWr, PIG, PWr, Vratis
17 Organization: Maciej Matyka, Jarosław Gołembiewski (WfiA, UWr) Ziemowit Malecha (Pwr) Andrzej Kosior (Pwr, Vratis)
18 CFD Course details 6 ECTS 165 hours (60 lecture + class) That gives 105 hours of self study 7 hours / week 1 working day each week for CFD course (!)
19 Classes Projects 1st project: FHP + fluid flow problem (solution + report) Deadline 1: 23. March (working prototype) Deadline 2: 13. April (hydrodynamics + report) 2nd project: One of: MAC, SIMPLE, LBM, SPH fluid flow problem (solution + report) Deadline: 8. June (report) Presentations (visits): Date: 9. June ( 15 minutes: aim, solver, tech, results)
20 Exam Oral exam, 16th June, 9am, 521 With hand (detailed questions)
21 Today Lattice Gas Methods
22 CFD Methods Macroscale (continuum) Navier Stokes Equations (NSE) Finite Difference Method (FDM) Finite Volume Method (FVM) Finite Element Method (FEM) Smoothed Particle Hydrodynamics (SPH) Dissipative Particle Dynamics (DPD) The Lattice Boltzmann Method (LBM) Lattice Gas Automata (LGA) Molecular Dynamics (MD) Microscale (atoms)
23 CFD Methods Macroscale (continuum) Navier Stokes Equations (NSE) Finite Difference Method (FDM) Finite Volume Method (FVM) Finite Element Method (FEM) Smoothed Particle Hydrodynamics (SPH) Dissipative Particle Dynamics (DPD) The Lattice Boltzmann Method (LBM) Lattice Gas Automata (LGA) Molecular Dynamics (MD) Microscale (atoms)
24 Navier-Stokes equations
25 Molecular dynamics (interactions) Too many atoms required
26 CFD Methods Macroscale (continuum) Navier Stokes Equations (NSE) Finite Difference Method (FDM) Finite Volume Method (FVM) Finite Element Method (FEM) Smoothed Particle Hydrodynamics (SPH) Dissipative Particle Dynamics (DPD) The Lattice Boltzmann Method (LBM) Lattice Gas Automata, HPP, FHP (LGA) Molecular Dynamics (MD) Microscale (atoms)
27 Metody CFD Navier Stokes Equations (NSE) Finite Difference Method (FDM) Finite Volume Method (FVM) Finite Element Method (FEM) Smoothed Particle Hydrodynamics (SPH) Dissipative Particle Dynamics (DPD) The Lattice Boltzmann Method (LBM) Lattice Gas Automata, HPP, FHP (LGA) Molecular Dynamics (MD) Lecture 2
28 Lagrangian and Eulerian description of Fluids. (movie MIT B&W)
29 turning point :)
30
31 Our work (2007 paper, J. Appl. Phys.) Use of FHP in research Applications in building materials Simple model yet complex analysis (anomalous diffusion) Our early work in CFD area Fired-clay brick saturation
32 (** fig Świerk **)
33
34 - Profiles do not collapse into one curve with ^ 0.5 scaling - They represent process faster than diffusion
35 Problem
36 (ang. moisture pol. wilgoć)
37 Our questions: is the process diffusive with changing C? Hydrodynamics?
38
39 - study concentration front dynamics - scatterers - time evolution (LGA)
40 Brief description of the model - LGA (here FHP5) rules - Steps: 1. Propagation. 2. Collisions.
41 Collision with scatterers
42 C front propagation time
43 Concentration profiles Matyka, M. and Koza, Z., Spreading of a density front in the Kuentz-Lavallee model of porous media, J. Phys. D: Appl. Phys. 40, (2007)
44 Concentration profiles Matyka, M. and Koza, Z., Spreading of a density front in the Kuentz-Lavallee model of porous media, J. Phys. D: Appl. Phys. 40, (2007)
45 (shortcut) Matyka, M. and Koza, Z., Spreading of a density front in the Kuentz-Lavallee model of porous media, J. Phys. D: Appl. Phys. 40, (2007)
46
47 Metody CFD Navier Stokes Equations (NSE) Finite Difference Method (FDM) Finite Volume Method (FVM) Finite Element Method (FEM) Smoothed Particle Hydrodynamics (SPH) Dissipative Particle Dynamics (DPD) The Lattice Boltzmann Method (LBM) Lattice Gas Automata, HPP, FHP (LGA) Molecular Dynamics (MD)
48 HPP gas model Gas of interacting particles Momentum conservation (collisions) Mass conservation Ballistic motion inbetween collisions
49 Cellular Automata Wolfram rules Sand model Game of Life +sand wikipedia, GameOfLife
50 HPP in physics (137 citations at pra.aps.org)
51 Review Chopard B., Droz. M. Cellular automata of physical systems, Cambridge University Press, 1998 (show printed)
52 Discrete lattice & velocities 1 particle traveling towards node from a given direction
53 Microscopic HPP rules Ballistic motion Collision 1 Collision 2
54 Basics HPP Two dimensional lattice (discrete) 1 particle from one direction gives 4 bit information at a node s(r,t) = (1011) s(r,t) = (1000) s(r,t) = (0110) 4 bits is a number 0-16
55 Byte code
56 HPP Algorithm Collision step Translation step ballistic motion along discrete velocity vectors
57 Model HPP - zjawisko rozchodzenia się fali gęstości ( Animacja?)
58 HPP (simularion + u field) HPP liquid simulation.mp4
59 Results HPP ( program WINDOWS)
60 Wyniki HPP problemy
61 Model HPP problem (symmetry)
62 Model HPP problem (symmetry)
63 Model HPP - zjawisko rozchodzenia się fali gęstości
64 Model FHP (1198 cytowań wg prl.aps.org) (2748 wg google scholar)
65 Model FHP Wprowadzenie sieci trójkątnej
66 Model FHP Wprowadzenie sieci trójkątnej
67 FHP models vary Different collision set: FHP I, II, III FHP5 (+ rest particle) Collision number affects model viscosity James Maxwell Buick (1997), Lattice Boltzmann Methods in Interfacial Wave Modelling. PhD Thesis, University of Edinburgh.
68 Boundaries James Maxwell Buick (1997), Lattice Boltzmann Methods in Interfacial Wave Modelling. PhD Thesis, University of Edinburgh.
69 HPP, a FHP Sebastian Szczecina, Własności hydrodynamiczne modelu gazu sieciowego FHP-III, Praca Magisterska 2008
70 FHP cellular automata.mp4 Samo Kralj
71 FHP (CUDA) LatticeGasCUDA.mp4 By Lucas Campos
72 End of part 1 next week : - FHP implementation details - applications of FHP (review)
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