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#appliedmathematics — Public Fediverse posts

Live and recent posts from across the Fediverse tagged #appliedmathematics, aggregated by home.social.

  1. V. Ocqueteau (University of Bordeaux) and his supervisor M. Tucsnak have a new publication in the Journal of Mathematical Fluid Mechanics:

    They study the small vertical motion of a floating cylinder. Coupling the water wave equations with the body's equation of motion, they prove the well-posedness of the system by analyzing a Dirichlet-to-Neumann map.

    link.springer.com/article/10.1

    arxiv.org/abs/2504.20523

    #AppliedMathematics #FluidMechanics #MathematicalPhysics #WellPosedness

    #MSCA #EUhorizon

  2. Following on from yesterday’s posting of flow around a #ZhukovskyAerofoil, I’ve added #equipotential lines (blue) in addition to #streamlines (black). The two families are #contours of the #real and #imaginary parts of an #AnalyticFunction and therefore have the property of intersecting #orthogonally. The plots aren’t ideal as there are some anomalous features where the equipotential lines are very close to the #aerofoil.

    #MyWork #CCBYSA #AppliedMathematics #Aeronautics #Aerodynamics

  3. Using the mapping w → z+1/z, you get something that looks remarkably like an #aerofoil.

    It is a #ConformalMapping meaning that angles are preserved during the mapping. In this animation, I’ve varied the imaginary part of the the eccentricity, while keeping the real part the same. With a zero #AngleOfAttack, you can see the change in the airflow around the #wing as its shape changes.

    #MyWork #CCBYSA #AppliedMathematics #WxMaxima #FreeSoftware #Aeronautics #Aerodynamics #LaminarFlow

  4. The #Zhukovsky #Aerofoil (sometimes transliterated as #Joukowsky from #Russian), is a 2D model of #streamlined #Airflow past a #wing. It uses #ComplexVariable and is an #AnalyticFunction (i.e. #Differentiable everywhere, save at isolated #Singularities). Take a circle in the #ComplexPlane which is not quite centred at the #origin but passes through the #coordinate (1,0) or (z=1+0i).

    #MyWork #CCBYSA #AppliedMathematics #WxMaxima #FreeSoftware #Aeronautics #Aerodynamics #LaminarFlow