( ( A ( numerical ( thermal model ) ) ) ( ( was ( developed ( to ( describe ( ( ( ( ( ( ( the relationships ) ( among ( water ( ( temperature and ) mass ) ) ) ) , ) ( ( ( reservoir size ) and ) ( ( ( depth and ) rate ) ( of change ) ) ) ) , ) and ) ( ( energy requirements ) ( as ( ( a function ) ( of time ) ) ) ) ) ) ) ) ) . ) )
(ROOT (S (NP (DT A) (JJ numerical) (JJ thermal) (NN model)) (VP (VBD was) (VP (VBN developed) (S (VP (TO to) (VP (VB describe) (NP (NP (NP (DT the) (NNS relationships)) (PP (IN among) (NP (NN water) (NN temperature) (CC and) (NN mass)))) (, ,) (NP (NP (NN reservoir) (NN size)) (CC and) (NP (NP (NN depth) (CC and) (NN rate)) (PP (IN of) (NP (NN change))))) (, ,) (CC and) (NP (NP (NN energy) (NNS requirements)) (PP (IN as) (NP (NP (DT a) (NN function)) (PP (IN of) (NP (NN time)))))))))))) (. .)))
A numerical thermal model was developed to describe the relationships among water temperature and mass, reservoir size and depth and rate of change, and energy requirements as a function of time.
(ROOT (S (NP (DT The) (NN term) (JJ thermal) (NN expansion)) (VP (VBZ is) (VP (VBN used) (S (VP (TO to) (VP (VB describe) (NP (NP (DT the) (NN change)) (PP (IN in) (NP (NN size) (CC or) (NN volume))) (PP (IN of) (NP (NP (DT a) (VBN given) (NN mass)) (PP (IN with) (NP (NN temperature))))))))))) (. .)))