POSTER

POLYNOMIAL EXPANSION OF COMPRESSIBLE MODES IN ROTATING RIGID ELLIPSOIDS

J´er´emie Vidal(Leeds), Sylvie Su & David C´ebron (Grenoble)

Schematicmodel

I Rotating,stratifiedand electrically conducting fluid, I Ellipsoidalgeometry,

I Nonlinearcouplings: instabilities&turbulence.

MAC waves = flow dynamics

J´er´emie Vidal (University of Leeds) Polynomial compressible modes in ellipsoids March 27, 2019 1 / 2

POLYNOMIAL EXPANSION OF COMPRESSIBLE MODES IN ROTATING RIGID ELLIPSOIDS

J´er´emie Vidal(Leeds), Sylvie Su & David C´ebron (Grenoble)

Schematicmodel

I Rotating,stratifiedand electrically conducting fluid, I Ellipsoidalgeometry,

I Nonlinearcouplings: instabilities&turbulence.

MAC waves = flow dynamics I Acoustic wavessensitive toflow properties, I Modal acoustic velocimetry(Triana et al., 2014).

Acoustic waves = ”probes”

Nonlineareigenvalue problem ω²A2(u) +ωA1(u) +A0(u) =0.

J´er´emie Vidal (University of Leeds) Polynomial compressible modes in ellipsoids March 27, 2019 1 / 2

POLYNOMIAL EXPANSION OF COMPRESSIBLE MODES IN ROTATING RIGID ELLIPSOIDS

J´er´emie Vidal(Leeds), Sylvie Su & David C´ebron (Grenoble)

u=∇×A+∇Φ

I BC onA: non-penetration1n·(∇×A) = 0.

I BC on Φ: either free-surface (see the proceeding) or rigid1n·∇Φ = 0.

J´er´emie Vidal (University of Leeds) Polynomial compressible modes in ellipsoids March 27, 2019 2 / 2

POLYNOMIAL EXPANSION OF COMPRESSIBLE MODES IN ROTATING RIGID ELLIPSOIDS

J´er´emie Vidal(Leeds), Sylvie Su & David C´ebron (Grenoble)

u=∇×A+∇Φ

I BC onA: non-penetration1n·(∇×A) = 0.

I BC on Φ: either free-surface (see the proceeding) or rigid1n·∇Φ = 0.

J´er´emie Vidal (University of Leeds) Polynomial compressible modes in ellipsoids March 27, 2019 2 / 2