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December 9, 2025Communications on Applied Mathematics and ComputationOpen Access

An Alternative Finite Difference WENO-Like Scheme with Physical Constraint Preservation for Divergence-Preserving Hyperbolic Systems

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Authors

DBDinshaw S. BalsaraDBDeepak BhoriyaCSChi‐Wang Shu

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Overview

The alternative finite difference WENO scheme enhances magnetohydrodynamics modeling, suggesting improved efficiency for complex PDEs.

Key Points

  • This research aims to develop an efficient AFD-WENO scheme for divergence-preserving hyperbolic systems.
  • Developed an alternative finite difference WENO approach for hyperbolic PDEs.
  • Retained Yee-style collocation for normal components of divergence-free vector fields.
  • Utilized two-dimensional Riemann solver for multidimensional stabilization.
  • Achieved significant computational savings with divergence-preserving updates.
  • Demonstrated spatial accuracies up to ninth order.
  • Tested the algorithm on stringent CED, MHD, and RMHD problems.

Cite This Study

Balsara et al. (2025) studied this question.

synapsesocial.com/papers/69401d682d562116f28f9019https://doi.org/10.1007/s42967-025-00517-y
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