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We present the derivation, implementation, and analysis of a multiresolutionadaptive grid framework for numerical simulations on octree-based 3Dblock-structured collocated grids with distributed computational architectures.Our approach provides a consistent handling of non-lifted and liftedinterpolating wavelets of arbitrary order demonstrated using second, fourth,and sixth order wavelets, combined with standard finite-difference baseddiscretization operators. We first validate that the wavelet family usedprovides strict and explicit error control when coarsening the grid, and showthat lifting wavelets increase the grid compression rate while conservingdiscrete moments across levels. Further, we demonstrate that high-order PDEdiscretization schemes combined with sufficiently high order wavelets retainthe expected convergence order even at resolution jumps. We then simulate theadvection of a scalar to analyze convergence for the temporal evolution of aPDE. The results shows that our wavelet-based refinement criterion issuccessful at controlling the overall error while the coarsening criterion iseffective at retaining the relevant information on a compressed grid. Oursoftware exploits a block-structured grid data structure for efficientmulti-level operations, combined with a parallelization strategy that relies ona one-sided MPI-RMA communication approach with active PSCW synchronization.Using performance tests up to 16,384 cores, we demonstrate that this leads to ahighly scalable performance. The associated code is available under a BSD-3license at https://github.com/vanreeslab/murphy.

MURPHY -- A scalable multiresolution framework for scientific computing on 3D block-structured collocated grids