DNDS::Euler::SpecialFields Namespace Reference

Functions
template<EulerModel model = NS>
auto	IsentropicVortex10 (EulerEvaluator< model > &eval, const Geom::tPoint &x, real t, int cnVars, real chi)
	Analytic isentropic vortex on a [0,10] x [0,10] periodic domain.
template<EulerModel model = NS>
auto	IsentropicVortex30 (EulerEvaluator< model > &eval, const Geom::tPoint &x, real t, int cnVars)
	Analytic isentropic vortex on a [-10,20] x [-10,20] periodic domain (period 30).
template<EulerModel model = NS>
auto	IsentropicVortexCent (EulerEvaluator< model > &eval, const Geom::tPoint &x, real t, int cnVars)
	Stationary isentropic vortex centered at the origin with zero background flow.

Function Documentation

IsentropicVortex10()

template<EulerModel model = NS>

auto DNDS::Euler::SpecialFields::IsentropicVortex10	(	EulerEvaluator< model > &	eval,
		const Geom::tPoint &	x,
		real	t,
		int	cnVars,
		real	chi
	)

Analytic isentropic vortex on a [0,10] x [0,10] periodic domain.

Background flow (u,v) = (1,1), vortex center at (5,5). The domain wraps with period 10 in both x and y via float_mod, so the vortex convects diagonally and re-enters from the opposite corner. Used for inviscid accuracy verification (spatial and temporal order-of-accuracy studies).

Template Parameters

model

EulerModel selecting the equation set (default NS = 2-D Navier-Stokes).

Parameters

eval	EulerEvaluator providing gas properties (gamma).
x	Physical-space coordinates at which to evaluate the solution.
t	Current physical time (the vortex translates at speed (1,1)*t).
cnVars	Number of conservative variables in the returned vector.
chi	Vortex strength parameter (standard test value = 5).

Returns

Conservative state vector (rho, rho*u_x, rho*u_y, ..., E) of size cnVars.

Definition at line 42 of file SpecialFields.hpp.

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IsentropicVortex30()

template<EulerModel model = NS>

auto DNDS::Euler::SpecialFields::IsentropicVortex30	(	EulerEvaluator< model > &	eval,
		const Geom::tPoint &	x,
		real	t,
		int	cnVars
	)

Analytic isentropic vortex on a [-10,20] x [-10,20] periodic domain (period 30).

Same vortex formula as IsentropicVortex10 but on a larger domain with period 30. Background flow (u,v) = (1,1), vortex center at (5,5), chi = 5 (hardcoded). Useful when more space around the vortex core is needed to reduce periodic-image interactions in convergence studies.

Template Parameters

model

EulerModel selecting the equation set (default NS).

Parameters

eval	EulerEvaluator providing gas properties (gamma).
x	Physical-space coordinates at which to evaluate the solution.
t	Current physical time (vortex translates at speed (1,1)*t).
cnVars	Number of conservative variables in the returned vector.

Returns

Conservative state vector (rho, rho*u_x, rho*u_y, ..., E) of size cnVars.

Definition at line 93 of file SpecialFields.hpp.

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IsentropicVortexCent()

template<EulerModel model = NS>

auto DNDS::Euler::SpecialFields::IsentropicVortexCent	(	EulerEvaluator< model > &	eval,
		const Geom::tPoint &	x,
		real	t,
		int	cnVars
	)

Stationary isentropic vortex centered at the origin with zero background flow.

Same vortex formula as IsentropicVortex10 but with (u_bg, v_bg) = (0,0) and the vortex center at the origin (0,0). No periodic wrapping is applied, so the computational domain should be large enough that the vortex decays before reaching the boundaries. chi = 5 (hardcoded).

Used for steady-state vortex preservation tests to verify that the numerical scheme maintains the stationary vortex without spurious dissipation or distortion.

Template Parameters

model

EulerModel selecting the equation set (default NS).

Parameters

eval	EulerEvaluator providing gas properties (gamma).
x	Physical-space coordinates at which to evaluate the solution.
t	Current physical time (unused since the vortex is stationary).
cnVars	Number of conservative variables in the returned vector.

Returns

Conservative state vector (rho, rho*u_x, rho*u_y, ..., E) of size cnVars.

Definition at line 148 of file SpecialFields.hpp.

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