Extended Blasius Problem Numerical Solutions via Non-Iterative Transformation

A numerical solution dataset for an Extended Blasius Problem, generated using a non-iterative transformation method. The method, originally defined by Töpfer in 1912, solves a boundary value problem via a related initial value problem and rescaling. Numerical results were improved using mesh refinement and Richardson's extrapolation, with six decimal places verified as correct.

Use Cases

• Benchmarking numerical solvers for boundary value problems based on the described non-iterative transformation method.
• Validating mesh refinement strategies for fluid dynamics simulations based on the described methodology.
• Testing Richardson's extrapolation techniques for improving numerical accuracy in computational physics problems.
• Studying scaling invariance properties in the context of the Extended Blasius equation.

Strengths

• Numerical results are verified to six correct decimal places.
• Methodology incorporates both mesh refinement and Richardson's extrapolation for accuracy.

Limitations

• Row count is unknown, which may limit suitability assessment.
• Column-level documentation is absent; field semantics must be inferred after download.
• Last update date is unknown; freshness unverified.

Provenance

Source

Riccardo Fazio, University of Messina

Collection Method

Numerical solution via a defined non-iterative transformation method, mesh refinement, and Richardson's extrapolation.