Breaking the Kolmogorov Barrier with Nonlinear Model Reduction
Benjamin Peherstorfer
Abstract
This article describes the Kolmogorov barrier of linear model reduction and then outlines how nonlinear methods can overcome the barrier. A numerical example of simulating combustion instabilities in a single-injector element of a rocket engine demonstrates adaptive empirical interpolation as one example of a nonlinear model reduction method.
Topics & Concepts
Reduction (mathematics)Nonlinear systemInverseComputer scienceLoop (graph theory)Applied mathematicsKey (lock)Finite element methodModel order reductionMathematical optimizationMathematicsAlgorithmGeometryPhysicsCombinatoricsProjection (relational algebra)Quantum mechanicsThermodynamicsComputer securityModel Reduction and Neural NetworksReservoir Engineering and Simulation MethodsAdvanced Control Systems Optimization