1Blurb:: 2Estimate order of convergence of a response as model fidelity increases 3Description:: 4Solution verification procedures estimate the order of convergence of 5the simulation response data during the course of a refinement study. 6This branch of methods is new and currently only contains one algorithm: 7Richardson extrapolation. 8 9<b> Refinement of the model </b> 10 11The model fidelity must be parameterized by one or more continuous state variable(s). 12 13The refinement path is 14determined from the \c initial_state of the \c continuous_state 15variables specification in combination with the 16\c refinement_rate, where each of the state variables is treated as an 17independent refinement factor and each of the initial state values is 18repeatedly divided by the refinement rate value to define new 19discretization states. 20 21<b> Results </b> 22 23Three algorithm options are currently provided: 24-# \c estimate_order 25-# \c converge_order 26-# \c converge_qoi 27 28<b> Stopping Criteria </b> 29 30The method employs the 31\c max_iterations and \c convergence_tolerance method independent 32controls as stopping criteria. 33 34 35Topics:: 36Examples:: 37Theory:: 38In each of these cases, convergence order for a response quantity of 39interest (QoI) is estimated from 40\f[p = ln\left(\frac{QoI_3 - QoI_2}{QoI_2 - QoI_1}\right)/ln(r)\f] 41where \f$r\f$ is the uniform refinement rate specified by \c 42refinement_rate. 43Faq:: 44See_Also:: 45