fluid dynamics in graphics
play

Fluid Dynamics in Graphics [pi] Overview Fields Math Background - PowerPoint PPT Presentation

Aug 27, 2023 •46 likes •186 views

Fluid Dynamics in Graphics [pi] Overview Fields Math Background Domain Physics Simulation Scalar Field Related Phenomena Frontiers in Graphics Vector Field Types of Derivatives Overview Derivative

  1. Fluid Dynamics in Graphics [pi] Overview Fields • Math Background • Domain • Physics • Simulation • Scalar Field • Related Phenomena • Frontiers in Graphics • Vector Field

  2. Types of Derivatives Overview • Derivative measures how something • Math Background changes . • Physics • Temporal Derivatives • Simulation • Spatial Derivatives • Related Phenomena • Frontiers in Graphics Representation “Coffee Cup” Equations Navier-Stokes • Density (density) • Velocity (domain) (velocity) s.t.

  3. Density Advection Velocity Advection s.t. Projection Projection s.t. (divergence) ? Div > 0 Div < 0 Div = 0 Div � 0 Div = 0

  4. Projection Diffusion s.t. s.t. External Forces Physics Recap • Physical quantities represented as fields. • PDE describes the dynamics. – explains what we see in here… s.t. • Gravity • Heat • Surface Tension • User-Created Forces (stirring coffee)

  5. Overview Simulation Challenges • Math Background • How to represent physical quantities? • Physics • How to evolve this representation? • Simulation • Related Phenomena • Frontiers in Graphics Simulation Representation Simulation Representation • Recall we’re dealing with fields : • Particle system? (density) (velocity) • Grid Representation • Very Low Resolution – Each grid cell represents integral over underlying quantities – Derivatives Easy to Implement

  6. Simulation Challenges Explicit Integration • How to represent physical quantities? • Very simple method to “implement” physics • How to evolve this representation? Explicit Integration Stable Fluids • Invented by Jos Stam • Simple + Fast + Unconditionally Stable fluid solver

  7. Splitting Methods Splitting Methods • Suppose we had a system: • …and we define a simulation S f . Advect Project Diffuse Add Forces • Then we could define: Advection Projection

  8. Add Forces (e.g. heat) Diffusion • Solved implicitly (like projection) • I don’t have a picture of this. Simulation Recap Overview • Decided Upon grid-based represenation. • Math Background • Explicit Methods will not work. • Physics • Stable Fluids solves all our problems… • Simulation – …maybe. • Related Phenomena • Frontiers in Graphics

  9. Smoke Water low pressure discontinuous change in pressure high pressure [Stam et. al. 2001] Water Particle/Level-Set Method [Foster and Fedkiw 2001]

  10. Water (Revisited) Water-Solid Interaction [Enright et. al. 2002] [Carlson et. al. 2004] Water-Solid Interaction Melting [Carlson et. al. 2004] [Carlson et. al. 2002]

  11. Explosions Fire • Not Incompressible – Implies div > 0 burning gass region heat fuel source Fire Overview • Math Background • Physics • Simulation • Related Phenomena • Frontiers in Graphics – Other phenomena – New Directions! [Nguyen et. al. 2002]

  12. Breaking Waves Splashing Small Scale Water Phenomena Overview • Math Background • Physics • Simulation • Related Phenomena • Frontiers in Graphics – Other phenomena – New Directions!

  13. Control <stanford bunny>

  14. Other Directions • Realtime… • Model Reduction • Automatic Discovery of Dynamics

Recommend

Fluid Dynamics CSE169: Computer Animation Steve Rotenberg UCSD, Winter 2017 Fluid Dynamics

Fluid Dynamics CSE169: Computer Animation Steve Rotenberg UCSD, Winter 2017 Fluid Dynamics

Fluid Dynamics CSE169: Computer Animation Steve Rotenberg UCSD, Winter 2017 Fluid Dynamics Fluid dynamics refers to the physics of fluid motion The Navier-Stokes equation describes the motion of fluids and can appear in many forms

634 views • 47 slides
Fluid Dynamics CSE169: Computer Animation Steve Rotenberg UCSD, Spring 2016 Fluid Dynamics

Fluid Dynamics CSE169: Computer Animation Steve Rotenberg UCSD, Spring 2016 Fluid Dynamics

Fluid Dynamics CSE169: Computer Animation Steve Rotenberg UCSD, Spring 2016 Fluid Dynamics Fluid dynamics refers to the physics of fluid motion The Navier-Stokes equation describes the motion of fluids and can appear in many forms

1.17k views • 47 slides
forces Coriolis f. deviation to the RHS in q high pressure / sine f=2R N .

forces Coriolis f. deviation to the RHS in q high pressure / sine f=2R N .

Applied Talks PhD @ HW Surface Semi Equations geo strophic - Lisei Stefania 02/05/18 of naturally Geophysical Fluid fluid dynamics Dynamics : flows Occur ing atmosphere such a as oceans , Dynamics dominated by : Rotation

323 views • 6 slides
Fluid dynamics Math background Physics Simulation Related phenomena

Fluid dynamics Math background Physics Simulation Related phenomena

Fluid dynamics Math background Physics Simulation Related phenomena Frontiers in graphics Rigid fluids Fields Domain R 2 Scalar field f : R Vector field f : R 2 Types of

685 views • 51 slides
CFD example Regular domain decomposition Fluid Dynamics The study of the mechanics of fluid

CFD example Regular domain decomposition Fluid Dynamics The study of the mechanics of fluid

CFD example Regular domain decomposition Fluid Dynamics The study of the mechanics of fluid flow, liquids and gases in motion. Commonly requires HPC. Continuous systems typically described by partial differential equations.

471 views • 19 slides
1. Computational Fluid a. Computational Fluid Dynamics is in the domain of Computational Science

1. Computational Fluid a. Computational Fluid Dynamics is in the domain of Computational Science

1. Computational Fluid a. Computational Fluid Dynamics is in the domain of Computational Science b. Applications i. Computational Fluid Dynamics have many applications. Some applications include: 1. Automotive Aerodynamics 2. Designing HVAC

191 views • 3 slides
SPARSE FLUID SIMULATION IN DIRECTX Alex Dunn Graphics Dev. Tech. AGENDA We want more fluid in

SPARSE FLUID SIMULATION IN DIRECTX Alex Dunn Graphics Dev. Tech. AGENDA We want more fluid in

SPARSE FLUID SIMULATION IN DIRECTX Alex Dunn Graphics Dev. Tech. AGENDA We want more fluid in games! Eulerian Fluid Simulation. Sparse Eulerian Fluid. Feature Level 11.3 Enhancements. 2 WHY DO WE NEED FLUID IN GAMES? Replace particle

578 views • 34 slides
Petascale Computational Fluid Dynamics with Python on GPUs F.D. Witherden , P.E. Vincent

Petascale Computational Fluid Dynamics with Python on GPUs F.D. Witherden , P.E. Vincent

Petascale Computational Fluid Dynamics with Python on GPUs F.D. Witherden , P.E. Vincent Department of Aeronautics Imperial College London Introduction Computational fluid dynamics (CFD) is the bedrock of several high-tech industries.

314 views • 30 slides
A&amp;D Forum Space Entrepenuerism An Engineering Firm Specializing In Fluid Dynamics and

A&amp;D Forum Space Entrepenuerism An Engineering Firm Specializing In Fluid Dynamics and

A&amp;D Forum Space Entrepenuerism An Engineering Firm Specializing In Fluid Dynamics and Thermodynamics Solutions . Flometrics, Inc. provides engineering services, skills and expertise for applications involving fluid dynamics and

452 views • 12 slides
Fundamentals of Fluid Dynamics: Waves in Fluids Introductory Course on Multiphysics Modelling T

Fundamentals of Fluid Dynamics: Waves in Fluids Introductory Course on Multiphysics Modelling T

Introduction Water waves Sound waves Fundamentals of Fluid Dynamics: Waves in Fluids Introductory Course on Multiphysics Modelling T OMASZ G. Z IELI NSKI (after: D.J. A CHESON s Elementary Fluid Dynamics )

1.03k views • 83 slides
The Future with Cryogenic Fluid Dynamics R.G.Scurlock Emeritus Professor of Cryogenic

The Future with Cryogenic Fluid Dynamics R.G.Scurlock Emeritus Professor of Cryogenic

The Future with Cryogenic Fluid Dynamics R.G.Scurlock Emeritus Professor of Cryogenic Engineering University of Southampton, UK. The Future with Cryogenic Fluid Dynamics Contents Definitions Natural convection in cryogenic

286 views • 28 slides
Fluctuations in Fluid Dynamics Thomas Sch afer North Carolina State University Why consider

Fluctuations in Fluid Dynamics Thomas Sch afer North Carolina State University Why consider

Fluctuations in Fluid Dynamics Thomas Sch afer North Carolina State University Why consider fluctuations? For consistency: Satisfy fluctuation-dissipation relations. Fluid dynamics as an EFT: Fluctuations determine non- analyticities in (

730 views • 17 slides
Business Models for Space An Engineering Firm Specializing In Fluid Dynamics and Thermodynamics

Business Models for Space An Engineering Firm Specializing In Fluid Dynamics and Thermodynamics

Business Models for Space An Engineering Firm Specializing In Fluid Dynamics and Thermodynamics Solutions . Flometrics, Inc. provides engineering services, skills and expertise for applications involving fluid dynamics and thermodynamics.

188 views • 16 slides
Contents Contents Fluid

Contents Contents Fluid

Physics-based Fluid Simulations for Computer Graphics Ryoichi Ando Contents Contents Fluid Solver Contents Fluid Solver Surface Tracker Contents Fluid Solver Surface

2.14k views • 175 slides
Thermodynamics, Fluid Dynamics, and Heat Transfer ( Chapter 2) 2 Learning Outcomes (Chapter 2)

Thermodynamics, Fluid Dynamics, and Heat Transfer ( Chapter 2) 2 Learning Outcomes (Chapter 2)

Thermodynamics, Fluid Dynamics, and Heat Transfer ( Chapter 2) 2 Learning Outcomes (Chapter 2) Review of Thermodynamics First law, Second law, Exergy Review of Fluid Dynamics Conservation of mass, momentum, and Mechanical energy

849 views • 20 slides
RESEARCH INTERESTS DYNAMICS OF FLUID-STRUCTURE INTERACTION (AEROELASTICITY) UNSTEADY (TIME

RESEARCH INTERESTS DYNAMICS OF FLUID-STRUCTURE INTERACTION (AEROELASTICITY) UNSTEADY (TIME

1 1 Earl Dowell Mechanical Engineering and Materials Science Duke University RESEARCH INTERESTS DYNAMICS OF FLUID-STRUCTURE INTERACTION (AEROELASTICITY) UNSTEADY (TIME DEPENDENT) AERODYNAMICS STRUCTURAL DYNAMICS PHYSICAL PHENOMENA OF

515 views • 3 slides
Dynamics and Statistics of Dynamics and Statistics of Quantum Turbulence in Quantum Quantum

Dynamics and Statistics of Dynamics and Statistics of Quantum Turbulence in Quantum Quantum

Dynamics and Statistics of Dynamics and Statistics of Quantum Turbulence in Quantum Quantum Turbulence in Quantum Fluid Fluid Faculty of Science, Osaka City University Michikazu Kobayashi Michikazu Kobayashi May 25, 2006, Kansai Seminar

684 views • 55 slides
Fluid Dynamics and Thermal Engineering R&amp;D Group Universidad Politcnica de Cartagena

Fluid Dynamics and Thermal Engineering R&amp;D Group Universidad Politcnica de Cartagena

UPCT Research Group in Fluid Dynamics and Thermal Engineering. Fluid Dynamics and Thermal Engineering R&amp;D Group Universidad Politcnica de Cartagena Technical University of Cartagena UPCT Research Group in Fluid Dynamics and Thermal

763 views • 40 slides
Finite Volume Method Praveen. C Computational and Theoretical Fluid Dynamics Division National

Finite Volume Method Praveen. C Computational and Theoretical Fluid Dynamics Division National

Finite Volume Method Praveen. C Computational and Theoretical Fluid Dynamics Division National Aerospace Laboratories Bangalore 560 017 email: praveen@cfdlab.net Workshop on Advances in Computational Fluid Flow and Heat Transfer Annamalai

590 views • 48 slides
Variational methods in fluid-structure interactions: Dynamics, dissipation, constraints, and

Variational methods in fluid-structure interactions: Dynamics, dissipation, constraints, and

Variational methods in fluid-structure interactions: Dynamics, dissipation, constraints, and Darcys law in moving media Vakhtang Putkaradze Mathematical and Statistical Sciences, University of Alberta, Canada July 7, 2017; DarrylFest70:

622 views • 47 slides
Integration of Fluid Dynamics and Solid Mechanics Models for FSI Simulation using GPU- based SPH

Integration of Fluid Dynamics and Solid Mechanics Models for FSI Simulation using GPU- based SPH

Transactions of the Korean Nuclear Society Virtual Spring Meeting July 9-10, 2020 Integration of Fluid Dynamics and Solid Mechanics Models for FSI Simulation using GPU- based SPH Framework Tae Hoon Lee a , So Hyun Park a , Eung Soo Kim a a

616 views • 4 slides
Geophysical Fluid Dynamics - I P.B. Rhines University of Washington slides 2 7 ii 2011

Geophysical Fluid Dynamics - I P.B. Rhines University of Washington slides 2 7 ii 2011

Geophysical Fluid Dynamics - I P.B. Rhines University of Washington slides 2 7 ii 2011 wintertime sea level pressure (very similar to dynamic height Z at 1000 Hpa); note major lows over the northern Atlantic and Pacific in winter.

325 views • 32 slides
Paul Drosinis Paul Drosinis UBC Phys 420 Introduction Short history on fluid dynamics

Paul Drosinis Paul Drosinis UBC Phys 420 Introduction Short history on fluid dynamics

Paul Drosinis Paul Drosinis UBC Phys 420 Introduction Short history on fluid dynamics Why bother studying fluid flow? Difference between Newtonian and Non-Newtonian Fluids Laminar vs. Turbulent Flow and the Navier-Stokes Equation

656 views • 30 slides
Fluid mechanics as a Discipline Scientific Computing I Prominent discipline of application for

Fluid mechanics as a Discipline Scientific Computing I Prominent discipline of application for

Fluid mechanics as a Discipline Scientific Computing I Prominent discipline of application for numerical Module 10: Case Study Computational Fluid simulations: Dynamics experimental fluid mechanics: wind tunnel studies, laser Doppler

79 views • 3 slides

More recommend