A computing device is provided, comprising a processor configured to execute a physics engine. The physics engine is configured to, during narrowphase collision detection of a collision detection phase, identify a set of convex polyhedron pairs, each including a first convex polyhedron from a first rigid body and a second convex polyhedron from a second rigid body. The physics engine is further configured to, for each convex polyhedron pair, determine a separating plane. The physics engine is further configured to perform neighbor welding on pair combinations of the convex polyhedron pairs during the narrowphase collision detection to thereby modify the separating planes of at least a subset of the convex polyhedron pairs. The physics engine is further configured to determine collision manifolds for the convex polyhedron pairs, including for the subset of convex polyhedron pairs having the modified separating planes.