Image-Based Simulation (IBSim) meshes: Finite element mesh of laser flash analysis (LFA) disc samples made of a graphite foam material (KFoam). The IBSim meshes are generated directly from a 3D volumetric image of a graphite foam block. The 3D image was generated with an X-ray tomography scan performed by Dr Llion Evans with Manchester X-ray Imaging Facility equipment, which was funded in part by the EPSRC (grants EP/F007906/1, EP/F001452/1 and EP/I02249X/1). Segmentation of the data into a binarized image was achieved with ImageJ. Conversion of the segmented data to FE mesh was achieved using ScanIP, part of the Simpleware suite of programmes, version 7 (Synopsys Inc., Mountain View, CA, USA). The graphite foam has anisotropic properties partly due to its microstructure. This dataset contains three meshes, one for each alignment along cartesian axes. The FE meshes use the EnSight Gold file format and may be visualised using Paraview (https://www.paraview.org). The CT data used for the mesh is available as a separate dataset: This data was used originally for the following publications (please cite if re-using the data): Ll.M. Evans, L. Margetts, P.D. Lee, C.A.M. Butler, E. Surrey, “Image based in silico characterisation of the effective thermal properties of a graphite foam”, Carbon, Vol. 143, pp. 542-558, 2018. https://doi.org/10.1016/j.carbon.2018.10.031