A very short introduction to the geometric algebra of hydrodynamics

DOI10.1088/1361-6404/AAE355zbMath1421.76018OpenAlexW2889819591WikidataQ58611876 ScholiaQ58611876MaRDI QIDQ5231798

Samuel da Silva, Emerson Dionísio Belançon

Publication date: 3 September 2019

Published in: European Journal of Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1088/1361-6404/aae355

zbMATH Keywords

hydrodynamicsgeometric algebrapotential flowmultivectors

Mathematics Subject Classification ID

Computer graphics; computational geometry (digital and algorithmic aspects) (68U05) Existence, uniqueness, and regularity theory for incompressible inviscid fluids (76B03) Applications of commutative algebra (e.g., to statistics, control theory, optimization, etc.) (13P25) Physics, astronomy, technology, engineering (aspects of mathematics education) (97M50)

Cites Work

• Geometric algebra with applications in engineering
• Perturbation waves in turbulent media
• Differential forms. With applications to the physical sciences
• A new formulation of equations of compressible fluids by analogy with Maxwell's equations
• Analogy between the Navier–Stokes equations and Maxwell’s equations: Application to turbulence
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