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Application of the Path Tubes Method to One Test Problem for Ocean Tracer Transport

Author

Listed:
  • Luciana P. M. Pena

    (Universidade Federal Fluminense)

  • Nélio Henderson

    (Universidade Estadual do Rio de Janeiro)

  • Acir M. Soares Jr.

    (Universidade Federal de São João del Rei)

Abstract

Linear advection equations are of great practical importance in the evolution of a variety of physical phenomena, in particular, hydrodynamic, thermal, and mass transfer processes that occur in the presence of ocean currents. The present work proposes an extension of the Path Tubes method, an explicit, backtracking-in-time, semi-Lagrangian, and mass-conserving algorithm, for solving a challenging advection problem based on Stommel’s ocean current model. The Path Tubes method equipped with an adaptative time step EDO-solving method increased its robustness and exhibited an accurate, non-oscillatory, and non-diffusive behavior.

Suggested Citation

  • Luciana P. M. Pena & Nélio Henderson & Acir M. Soares Jr., 2026. "Application of the Path Tubes Method to One Test Problem for Ocean Tracer Transport," Springer Books,, Springer.
    • Handle: RePEc:spr:sprchp:978-3-032-04458-7_20
    DOI: 10.1007/978-3-032-04458-7_20
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