ChiDG
  • Getting Started
    • Build from source
      • Step 1: Get ChiDG
      • Step 2: Check the compilers
      • Step 3: Install the dependencies
        • CMake
        • HDF5
        • METIS
        • MPI
        • BLAS and LAPACK
      • Step 4: Configure the build
      • Step 5: Build ChiDG
      • Step 6: Test ChiDG
    • Usage
      • ChiDG Executable: chidg
    • Running ChiDG
      • Step 1: Create a ChiDG-formatted grid file
      • Step 2: Create a chidg.nml input file
      • Step 3: Run chidg
  • Code details
    • ChiDG API
    • Input/Output
      • ChiDG HDF File Format
        • Domains (D_)
        • Boundary Condition State Groups (BCSG_)
        • Equations (EQN_)
      • Post-Processing & Visualization
        • TecIO
        • vtkIO
        • matplotlib
    • Finding your way around ChiDG
      • Source Layout chidg/src
        • ChiDG Modules
        • ChiDG Datatypes type_datatype.f90
        • ChiDG Topics src/topic
    • Computational Grid
      • Coordinate Systems
      • Mesh
      • Domain
      • Element
        • Metric terms
        • Gradients
      • Face
        • Face metrics
        • Face normals
      • Chimera Interfaces
        • Example
    • Equation Sets
      • Theory + Abstractions
        • Mathematical background
        • ChiDG Operators
        • ChiDG Equation Sets
      • Fluid Equations
        • Fluid Advection
        • Fluid Diffusion
        • Models
    • Boundary conditions
      • Theory + Abstractions
        • Boundary condition patch
        • Boundary condition state functions
      • Fluid boundary conditions
        • Inlet - Total
        • Outlet - Constant Pressure
        • Wall
        • Symmetry
        • Farfield
      • Periodic boundary condition
    • Solvers
      • Time Integrators
        • ChiDG Representation
        • Implicit integrators
        • Explicit integrators
      • Nonlinear solvers
        • ChiDG Representation
        • Newton
        • Quasi-Newton
      • Linear Solvers
        • ChiDG Representation
        • Flexible Generalized Minimum Residual
      • Preconditioners
        • ChiDG Representation
        • block-Jacobi
        • block-ILU0
        • Restricted Additive Schwarz + block-ILU0
    • Parallelization
      • ChiDG MPI
      • Domain decomposition
      • Parallel matrix:vector operations
        • chidg_matrix
        • chidg_vector
      • Parallel efficiency
      • Parallel preconditioning
        • Block-Jacobi
        • Restricted Additive Schwarz
        • References
    • Automatic Differentiation
      • DNAD - Dual Number Automatic Differentiation
  • Examples
    • Smooth bump
      • Tutorial
      • Background
      • Setup
        • Setup from scratch:
        • Use setup provided:
      • Results
    • NACA 2412 Airfoil
      • Background
      • Set-up
      • Results
ChiDG
  • Docs »
  • Code details »
  • Equation Sets
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Equation SetsΒΆ

  • Theory + Abstractions
  • Fluid Equations
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© Copyright 2016, Nathan A. Wukie.

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