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Scientific research

  • Introduction
  • Methods

Theory

  • Least-Squares spectral element method
    • Least-Squares spectral element method
    • Basis functions
    • Numerical integration
    • Transfinite mapping
      • Interpolation within a standard element
      • Differentiation within a standard element
        • 1D element
        • 2D element
    • Multi-element description
      • Global matrix assembly
  • Thermodynamic relations
    • Enthalpy
    • Helmholtz energy
    • Gibbs energy
    • Internal energy
    • Equation of state for phase-change
    • Free energy of a dividing surface
  • Diffuse interface methods
    • Equilibrium interface profile
    • Bulk energy density
    • Phase-field evolution in time

Software

  • Nemesis
    • Installation
    • Code structure
    • Settings file
      • Block: nemesis
      • Block: problem_data
      • Block: function_data
      • Block: mesh_data
      • Block: field_data
        • fields specification
        • fe_handler_data specification
        • solution_data specification
        • boundary_data specification
        • monitor_data specification
      • Block: physics_data
      • Block: solver_data
      • Block: output_data
      • Block: analysis
    • Mesh definition
      • Geometric elements
      • Geometric mesh
      • Mesh elements
      • Static / Octree mesh
      • Mesh refinement
    • Field definition
    • Solution
    • Useful Matlab functions
      • Settings
      • Field
        • plotting
        • vector with (derivative) values
        • quadrature information
        • degree of freedom information
      • Mesh
        • plotting
        • plotting of active elements (OctreeMesh only)
      • Patch
        • plotting
    • Paraview output

References

  • References
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