Algorithm and Software Details

Contents:

• Algorithm of IAMReX
  • Fluid Variables
  • Fluid Equations
  • Time Step - Godunov
  • Level Set Method
    • Material Properties
    • Time Discretization
  • Direct Forcing Immersed Boundary Method
    • Time advancement
    • Types of kinematic constraints
      • Prescribed motion
      • Free motion
  • Adaptive Collision Time Model
    • Introduction
    • Model Components
      • Lubrication Force
      • Normal Contact Force
      • Tangential Contact Force
    • Adaptive Time Stepping
    • Enduring Contact Handling
    • Mathematical Formulation
      • Collision Detection
      • Collision Time Calculation
      • Restitution Coefficient
    • Algorithm Implementation
  • Key Differences Between IAMR and IAMeX
    • IAMR (Base)
    • IAMReX (Extended)
    • Comparison with Base IAMR
  • Software Architecture
    • Core Class Hierarchy
    • Key Components
    • Key Files
    • Understanding the Flow
• Scholarly effort of IAMReX
  • I. Two Enhanced Time Advancement Methods
    • 1. Two-Phase Flow with Level Set Method
    • 2. Fluid-Structure Interaction with Diffused Immersed Boundary Method (DIBM) and Particle Collision
  • II. Level Set Method
    • Enhanced State Management
    • Key Computational Functions
    • Features(Level Set)
  • III. DIBM and Particle Collision
    • Core Architecture of DIBM
      • Primary Classes (Particle)
      • Particle Data Structure (Kernel)
    • Key Computational functions(IBM)
      • 1. Fluid-Solid Coupling
      • 2. Velocity Transfer (Eulerian → Lagrangian)
      • 3. Force Computation and Spreading
      • 4. Particle Dynamics
    • Features(IBM)
      • Marker Distribution
      • GPU Acceleration
    • Core Architecture of Particle Collision
      • Primary Classes (Collision)
      • Collision Detection Algorithm
      • DKT Model for Collision Resolution
      • Integration with Fluid Forces
  • IV. Technical Innovations of IAMReX
    • Multi-Physics Integration
    • Computational Efficiency and Memory Management
    • Numerical Stability
    • Research Applications
  • V. Summary