Unsteady conservative streamfunction coordinate formulation: 1-D isentropic flow
نویسندگان
چکیده
منابع مشابه
No Tvd Fields for 1-d Isentropic Gas Flow
We prove that isentropic gas flow does not admit non-degenerate TVD fields on any invariant set M(r0, s0) = {r0 < r < s < s0}, where r, s are Riemann coordinates. A TVD field refers to a scalar field whose spatial variation VarX(φ(τ(t,X), u(t,X))) is nonincreasing in time along entropic solutions. The result is established under the assumption that the Riemann problem defined by an overtaking s...
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In the above equation, t is the time x is the position, ρ = ρ(t, x) ≥ 0 is the density of the fluid, m(t, x) is the momentum (v(t, x) = m(t,x) ρ(t,x) is the velocity of the fluid), the pressure law is p(ρ) = κρ γ , γ ∈ (1, 3]. Equation (EI) is formulated in Eulerian coordinates. The problem of one-dimensional isentropic gas dynamics is also frequently studied in Lagrangian coordinates: { ∂tτ − ...
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ژورنال
عنوان ژورنال: Applied Mathematical Modelling
سال: 1994
ISSN: 0307-904X
DOI: 10.1016/0307-904x(94)90326-3