Discontinuous Galerkin Method (DGM): High-Precision Discretization for Unstructured Grid Compressible Flow Analysis
·4 min read
Step-by-step summary from DGM weak form derivation to Gauss quadrature and unstructured grid implementation.
FEM for Rigid Body Dynamics: Quaternion-based Rotation Handling and Inertia Tensors
·3 min read
Methods for representing rotations with quaternions and handling inertia tensors in FEM rigid body simulations.
FDM vs FEM vs FVM: The Essential Differences Between Three Discretization Techniques
·6 min read
A comparison of the mathematical origins, pros and cons, and best application areas for the Finite Difference Method (FDM), Finite Element Method (FEM), and Finite Volume Method (FVM).