A construction of Courant algebroids on foliated manifolds

For any transversal-Courant algebroid $E$ on a foliated manifold $(M,\mathcal{F})$, and for any choice of a decomposition $TM=T$\mathcal{F}$\oplus Q$,weconstructaCourantalgebroidstructureon$T$\mathcal{F}$\oplus T^*$\mathcal{F}$\oplus E$.