Provides templated implementations for discretizing values, velocities and accelerations from current and previous states. More...

#include <tuple>
#include "smith/physics/common.hpp"
#include "smith/differentiable_numerics/field_state.hpp"

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Classes
class	smith::TimeIntegrationRule
	Abstract time integration rule for discretizing odes in time. More...

class	smith::BackwardEulerFirstOrderTimeIntegrationRule
	encodes rules for time discretizing first order odes (involving first time derivatives). When solving f(u, u_dot, t) = 0 this class provides the current discrete approximation for u and u_dot as a function of (u^{n+1}, u^n). More...

class	smith::QuasiStaticRule
	encodes rules for time discretizing first order odes where time derivatives are zero. When solving f(u, t) = 0 this class provides the current discrete approximation for u as a function of u^{n+1}. More...

struct	smith::ImplicitNewmarkSecondOrderTimeIntegrationRule
	encodes rules for time discretizing second order odes (involving first and second time derivatives). When solving f(u, u_dot, u_dot_dot, t) = 0 this class provides the current discrete approximation for u, u_dot, and u_dot_dot as a function of (u^{n+1},u^n,u_dot^n,u_dot_dot^n). More...

struct	smith::QuasiStaticSecondOrderTimeIntegrationRule
	encodes rules for time discretizing second order odes (involving first and second time derivatives). When solving f(u, u_dot, u_dot_dot, t) = 0 this class provides the current discrete approximation for u, u_dot, and u_dot_dot as a function of (u^{n+1},u^n,u_dot^n,u_dot_dot^n). More...

Typedefs
using	smith::QuasiStaticFirstOrderTimeIntegrationRule = BackwardEulerFirstOrderTimeIntegrationRule
	Alias for BackwardEulerFirstOrderTimeIntegrationRule for convenience. Quasi-static still should compute velocities (viscosities) using backward Euler.

Detailed Description

Provides templated implementations for discretizing values, velocities and accelerations from current and previous states.

Classes