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  • Getting Started
    • Build Dependencies
    • Build solvcon
  • GUI (Pilot)
    • Graphical Editor in 2D Plane
    • Analysis and Visualization in 2/3D Spatial Domain
  • Compute
    • Buffers and Arrays
    • Basic Numerical Calculation and Linear Albegra
    • Geometry
    • Input and Output
    • Profiling
  • Development Guide
    • Contributing
    • Testing
    • Coding Style Guide
  • API Reference
    • Python API
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      • Core and memory
      • Numerics
      • Geometry
      • Mesh
      • One-dimensional solvers
      • Multi-dimensional solvers
      • Input and output
      • Graphical editor
      • Domain visualizer
  • Mesh
  • CESE
    • Schemes
    • Multi-Dimensional Formulation
  • Application
    • Supersonic Inviscid Flows
  • Reference
    • Development Plans
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CESEΒΆ

This chapter introduces the space-time conservation element and solution element (CESE) method, which solves non-linear, first-order hyperbolic partial differential equations (PDEs), also known as conservation laws.

  • Schemes
    • The \(c\)-Scheme
    • Weighting Function for Discontinuity
  • Multi-Dimensional Formulation
    • CESE Dual Mesh
    • Gradient Elements
    • W-1 Weighting Scheme
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