High-Order Solver for Free Surface Flows
Published:Dec 29, 2025 17:59
•1 min read
•ArXiv
Analysis
This paper introduces a high-order spectral element solver for simulating steady-state free surface flows. The use of high-order methods, curvilinear elements, and the Firedrake framework suggests a focus on accuracy and efficiency. The application to benchmark cases, including those with free surfaces, validates the model and highlights its potential advantages over lower-order schemes. The paper's contribution lies in providing a more accurate and potentially faster method for simulating complex fluid dynamics problems involving free surfaces.
Key Takeaways
- •Presents a high-order spectral element solver for steady-state free surface flows.
- •Utilizes the Firedrake framework for implementation.
- •Employs curvilinear elements to handle surface curvature.
- •Demonstrates high-order accuracy and speed-up over low-order schemes through benchmark tests.
Reference
“The results confirm the high-order accuracy of the model through convergence studies and demonstrate a substantial speed-up over low-order numerical schemes.”