On Trefftz’ integral equation for the Bernoulli free boundary value problem
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DOI: 10.1007/s00211-016-0847-5
Abstract: We propose a new numerical method for the solution of Bernoulli’s free boundary value problem for a harmonic function w in a doubly connected domain D in $$\mathbb {R}^2$$R2 where an unknown free boundary $$\varGamma… read more here.
Keywords: value problem; boundary value; bernoulli free; vargamma ... See more keywords
Graded-Noetherian property in pullbacks of graded integral domains
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DOI: 10.1007/s11587-018-0357-0
Abstract: Let $${\varGamma }$$Γ be a nonzero torsionless commutative cancellative monoid, $$T=\bigoplus _{\alpha \in {\varGamma }}T_{\alpha }$$T=⨁α∈ΓTα be a $${\varGamma }$$Γ-graded integral domain with $$T_{\alpha } \ne \{0\}$$Tα≠{0} for all $$\alpha \in {\varGamma }$$α∈Γ, $$M =… read more here.
Keywords: bigoplus alpha; vargamma alpha; graded noetherian; alpha vargamma ... See more keywords
From zonal flow to convection rolls in Rayleigh–Bénard convection with free-slip plates
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DOI: 10.1017/jfm.2020.793
Abstract: Abstract Rayleigh–Bénard (RB) convection with free-slip plates and horizontally periodic boundary conditions is investigated using direct numerical simulations. Two configurations are considered, one is two-dimensional (2-D) RB convection and the other one three-dimensional (3-D) RB… read more here.
Keywords: aspect ratio; roll; flow; convection ... See more keywords