Zhuyin Ren

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This work addresses the construction and use of low-dimensional invariant manifolds to simplify complex chemical kinetics. Typically, chemical kinetic systems have a wide range of time scales. As a consequence, reaction trajectories rapidly approach a hierarchy of attracting manifolds of decreasing dimension in the full composition space. In previous(More)
Nomenclature Roman Symbols A mapping gradient matrix with components A ij ≡ ∂f i /∂x j A maximum number of table entries per processor allowed A * critical number of ISAT table entries a number of table entries in a serial calculation a i total number of tabulated table entries in all processors in group i in the adaptive strategy a * L maximum number of(More)
Pulmonary embolism is the third leading cause of death in hospitalized patients in the US. Vena cava filters are medical devices inserted into the inferior vena cava (IVC) and are designed to trap thrombi before they reach the lungs. Once trapped in a filter, however, thrombi disturb otherwise natural flow patterns, which may be clinically significant. The(More)
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