Journal of Computational Physics
Least-squares spectral element method for non-linear hyperbolic differential equations
Journal of Computational and Applied Mathematics
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In this work the implementation of a high-order method for the simulation of a natural circulation loop is discussed. An adaptive method is developed in order to improve both accuracy and computational time in the resolution of nonlinear problems. Finally, several numerical simulations are discussed in relation to the development of this kind of high-order adaptive methods for unstable thermo-hydraulic systems.