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Lethe documentation
Lethe documentation
  • Installation
    • Regular Installation on Linux
    • Windows with WSL
    • Installation on Apple ARM
    • Docker
    • Running Lethe on Digital Research Alliance of Canada Clusters
  • Applications Overview
  • Folder Structure of Lethe
  • Launching Your First Simulation
  • Parameters Guide
    • General, CFD and Multiphysics
      • Arbitrary Lagrangian-Eulerian
      • Analytical Solution
      • Boundary Conditions - CFD
      • Boundary Conditions - Multiphysics
      • Box Refinement
      • Cahn-Hilliard
      • Conservative Level-Set (Multiphase Flow)
      • Constrain Stasis
      • Dimensionality
      • Dynamic Flow Control
      • Finite Element Interpolation (FEM)
      • Force and Torque Calculation
      • Initial Conditions
      • Laser Heat Source
      • Linear Solver
      • Manifolds
      • Mesh
      • Mesh Adaptation
      • Mortar
      • Multiphysics
      • Nitsche Immersed Boundary
      • Non-linear Solver
      • Physical Properties
      • Post-processing
      • Restart
      • Simulation Control
      • Source Term
      • Stabilization
      • Timer
      • Time-Harmonic Maxwell
      • Tracer Drift Velocity
      • Velocity Source
    • Discrete Element Method (DEM)
      • Simulation Control
      • Test
      • Timer
      • Model Parameters
      • Lagrangian Physical Properties
      • Mesh
      • Insertion Info
      • Floating Wall
      • Solid Objects
      • Boundary Conditions
      • Post-processing
      • Particle Ray Tracing
    • Unresolved CFD-DEM
      • CFD-DEM
      • Void Fraction
    • Sharp-Immersed-Boundary
  • Examples
    • Incompressible Flow
      • Lid-Driven Cavity Flow
      • Flow around a Cylinder
      • Taylor-Couette Flow
      • Method of Manufactured Solutions
      • Flow past a Backward-Facing Step
      • Transient Flow around an Ahmed Body
      • Transient Flow around a Cylinder
      • Flow around NACA0012 at Low Reynolds Number
      • Taylor-Couette Flow Using Nitsche Immersed Boundary
      • Sudden-Expansion Flow
      • Paddle Mixer Using the Mortar Method
      • Flow around a Sphere
      • Taylor-Green Vortex
      • Turbulent Taylor-Couette Flow
      • Flow over Periodic Hills
      • Turbulent Flow Around a Cylinder
      • Ribbon Mixer Using a Single Rotating Reference Frame
      • Mixer with Pitched-Blade Turbine Impeller Using Nitsche Immersed Boundary
    • Multiphysics
      • CLS
        • Dam-Break
        • Rayleigh-Taylor Instability
        • Static Bubble
        • Rising Bubble
        • Sloshing in a Rectangular Tank
        • Capillary Wave
        • Rayleigh-Plateau Instability
        • 3D Dam-Break with an Obstacle
        • Water Injection in a Closed Cell
        • Air Bubble Compression
      • Heat Transfer
        • Cooling Fin
        • Rayleigh-Bénard Convection
        • Stefan Problem: Melting of a Solid
        • Warming up a Viscous Fluid
        • Melting Cavity
        • Static Irradiation of a Bare Plate
        • Concentric Heat Exchanger
        • Cooling of a Cylinder
      • Tracer
        • Tracer in Static Mixer
      • CHNS
        • Jurin’s Law
        • Bubble detachment in shear flow
      • Electromagnetism
        • Waveguide
        • Fichera Oven
    • Discrete Element Method (DEM)
      • Bouncing Particle
      • Oblique Wall Impact
      • Packing in Circle
      • Packing in Ball
      • Small Scale Rotating Drum
      • Small Scale Rotating Drum Postprocessing
      • Rotating Drum
      • Rotation of Box
      • Sandpile Formation
      • Silo
      • Rectangular Hopper
      • Granular Dam-Break
      • Plate Discharge
      • Bunny Drill
      • Granular Mixer
      • Granuheap
    • DEM-Multiphysics
      • Heat Transfer in Aligned Particles
      • Heated Packed Bed
    • Unresolved CFD-DEM
      • Single Particle Sedimentation
      • Cylindrical Packed Bed
      • Gas-Solid Fluidized Cylinder Bed
      • Pseudo-2D Gas-Solid Fluidized Bed
      • Gas-Solid Spouted Rectangular Bed
      • Liquid-Solid Fluidized Bed
      • Boycott Effect
      • Gas-Solid Spouted Cylinder Bed
      • Dense Pneumatic Conveying
    • Sharp Immersed Boundary Solver
      • Resolved CFD-DEM
        • Sedimentation of One Particle
        • Sedimentation of 64 Particles
        • Sedimentation of One Cuboid Particle
      • Incompressible Flow
        • Flow around a Cylinder Using the Sharp Interface Method
        • Non-Newtonian Flow past a Sphere
        • 3D Mixer with Pitched-Blade Turbine Impeller Using Composite Sharp-Immersed Boundary
        • 3D Mixer with Pitched-Blade Turbine Impeller Using OpenCascade Sharp-Immersed Boundary
        • Inclined 3D Mixer with Pitched-Blade Turbine Impeller Using Composite Sharp-Immersed Boundary
        • 3D Static Mixer Using RBF Sharp Immersed Boundary
        • Flow around a Finite Cylindrical Particle Using the Sharp Interface Method
      • Geometry Definition
        • Simple Plane Model From Composite
  • Theory
    • Notation
    • Multiphysics
      • Fluid Dynamics
        • The Incompressible Navier-Stokes Equations
        • Origin of the Finite Element Formulation
        • On the Need for Stabilization
        • Linear Solvers
        • Rheology and Non-Newtonian Fluids
      • Heat Transfer
        • Heat Transfer Equations
        • Finite Element Formulation
        • Stabilization Techniques
      • Passive Tracer
        • Passive Tracer Equations
        • Stabilization Techniques
      • Electromagnetism
        • Time Harmonic Maxwell’s Equations
        • Finite Element Method for Time-Harmonic Maxwell’s Equations
        • DPG formulation for time-harmonic Maxwell problems
    • Multiphase
      • Fluid-Fluid Flows - Interface Capturing Models
        • The Conservative Level-Set (CLS) Method
        • Cahn-Hilliard Method
      • Granular Flows - Discrete Element Method (DEM)
      • Particle-laden Flows - CFD-DEM
        • Resolved CFD-DEM
        • Unresolved CFD-DEM
  • Tools
    • How to Automatically Create and Launch Lethe Simulations
    • Command-line Interface Options
    • Introduction on How to Use GMSH
    • Inlet profile generator
    • Introduction on How to Use Pointwise
    • Remote Data Visualization on ParaView
    • Post-processing Lethe with PyVista
    • Updating Test Results
  • Publications
  • Referencing Lethe
  • Contributing
    • Pull Requests
    • Documentation
    • Animation Videos
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Electromagnetism#

  • Time Harmonic Maxwell’s Equations
  • Finite Element Method for Time-Harmonic Maxwell’s Equations
  • DPG formulation for time-harmonic Maxwell problems
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Time Harmonic Maxwell’s Equations
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Passive Tracer Equations
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