HWENO Method: Numerical Flux Performance Comparisons

A paper-based dataset presents quantitative comparisons of the Hermite Weighted Essentially Non-Oscillatory (HWENO) method using different numerical fluxes for solving hyperbolic conservation laws. The study by Liu Hongxia of Taiyuan University of Technology systematically investigates performance metrics like CPU cost, accuracy, and non-oscillatory properties, focusing on one-dimensional systems. The HWENO method is a high-order, high-resolution scheme for simulations with discontinuous or sharp gradient solutions.

Use Cases

• Benchmarking computational performance based on CPU cost comparisons for different numerical fluxes.
• Evaluating numerical accuracy for hyperbolic conservation law solvers based on the described quantitative comparisons.
• Selecting appropriate numerical fluxes for finite difference HWENO schemes based on non-oscillatory property analysis.
• Studying the trade-offs between first-order monotone and second-order TVD fluxes within the HWENO framework.

Strengths

• The study provides a systematic, quantitative comparison of multiple numerical fluxes, including first-order monotone and second-order TVD types.
• The description details a specific methodological focus on one-dimensional systems and metrics like CPU cost and accuracy.

Limitations

• The dataset's structure, including column names and row count, is unknown, complicating direct usability assessment.
• The data is presented within an academic paper; raw numerical results are not provided as a standalone, downloadable dataset.
• The temporal coverage and last update date for the underlying data are unknown.

Provenance

Source

Taiyuan University of Technology

Collection Method

Results from computational experiments comparing numerical methods, published in an academic paper.