What question did this study set out to answer?

Develop a high-fidelity finite volume numerical scheme based on the boundary variation diminishing principle to resolve ideal magnetohydrodynamic equations accurately without spurious oscillations.

November 1, 2024Physics of Fluids

A high-fidelity finite volume scheme for ideal magnetohydrodynamics equations using boundary variation diminishing algorithm

View Full Paper

Ask AI

Bookmark

Develop a high-fidelity finite volume numerical scheme based on the boundary variation diminishing principle to resolve ideal magnetohydrodynamic equations accurately without spurious oscillations.
Constructed a hybrid spatial reconstruction profile coupling a quadratic polynomial with a steepness-adjustable hyperbolic tangent function via the boundary variation diminishing principle.
Implemented an eight-wave formulation to suppress magnetic field divergence errors across one- and two-dimensional benchmark test cases.
Achieved third-order linear convergence rates in standardized numerical tests for both advection and magnetohydrodynamics equations.
Suppressed non-physical oscillations near discontinuities and resolved shock waves and multiscale smooth structures with higher accuracy than third-order weighted essentially non-oscillatory schemes.

Discussion

No takes yet. Share an insight, caveat, or question.

Implication

Computational study demonstrates third-order accuracy and oscillation-free shock capturing in magnetohydrodynamic flows, highlighting the promise of boundary variation diminishing algorithms.

Cite This Study

Pan et al. (2024) studied this question.

synapsesocial.com/papers/6a19da91443d3ecd7cdf1623 https://doi.org/10.1063/5.0237231

View Full Paper

Ask AI

Bookmark

Implication

Computational study demonstrates third-order accuracy and oscillation-free shock capturing in magnetohydrodynamic flows, highlighting the promise of boundary variation diminishing algorithms.

A high-fidelity finite volume scheme for ideal magnetohydrodynamics equations using boundary variation diminishing algorithm

Key Points

Discussion

Implication

Cite This Study

A high-fidelity finite volume scheme for ideal magnetohydrodynamics equations using boundary variation diminishing algorithm

Key Points

Discussion

Implication

Cite This Study

Also Consider

Also Consider