Skew the Element 45° and the Stiffness Grows 2.5x — Metric Tensors and Constitutive Tensor Transformation
·7 min read
In curvilinear coordinates, writing strain as covariant components means the constitutive tensor has to move too. Skip that step and every skewed element reports the wrong stiffness.
Wrapping a Rectangular Grid Around a Wing — Curvilinear Coordinate Transforms and Grid Metrics
·5 min read
Mapping physical to logical space, the Jacobian, and freestream preservation in numpy
The Star That Started Moving — Well-Balanced FVM and Angular Momentum in Polar Coordinates
·5 min read
Mis-discretize 2P/r and a quiet star will leak gas out of its center.