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Table B.1

Self-bias correction for GDSPH. The cNsmooth is to be used in Eq. B.2 to calculate the correction factor for density Eq. B.1.

c1 c2 c3 c4 c1 c6 c7 c8 c9
O32 0.7765625 0.85302734 0.86884766 0.89765625 0.92294922 0.93652344 0.94716797 0.96826172 0.98261719
O64 0.83125305 0.93046875 0.93710937 0.94462891 0.95146484 0.96054687 0.96875 0.9828125 0.99072266
O128 0.83544617 0.95097656 0.95742187 0.96210937 0.96582031 0.97236328 0.97832031 0.98867188 0.99404297
O256 0.84145508 0.95 0.97675781 0.98193359 0.98554688 0.99023438 0.99355469 0.99814453 0.99931641
OI,32 0.67424316 0.85517578 0.88662109 0.88674219 0.92255859 0.95058594 0.97558594 1.0 1.0
OI,64 0.74882812 0.85976562 0.87744141 0.90087891 0.91757812 0.93232422 0.94550781 0.96835938 0.9828125
OI,128 0.80136719 0.90957031 0.92109375 0.93486328 0.94765625 0.96025391 0.97089844 0.98574219 0.99296875
OI,256 0.81279297 0.91591797 0.92558594 0.93730469 0.94824219 0.95908203 0.96845703 0.9828125 0.99091797
C2 0.80507812 0.90039062 0.91347656 0.93349609 0.95693359 0.97158203 0.97675781 0.98847656 0.99394531
C4 0.70195312 0.87412109 0.91611328 0.95019531 0.96748047 0.98417969 0.99013672 0.99658203 0.99873047
C6 0.54921875 0.76171875 0.83505859 0.92001953 0.96542969 0.98515625 0.99130859 0.99814453 0.99941406
C8 0.43124695 0.63945312 0.72568359 0.85019531 0.93779297 0.98095703 0.99003906 0.9984375 0.99960938
WU2 0.94551392 0.97011719 0.98007812 0.98652344 0.98964844 0.99326172 0.99482422 0.99707031 0.99824219
WU4 0.78925781 0.96679688 0.98798828 0.99375 0.99619141 0.99775391 0.99863281 0.99941406 0.99960938
CM04 0.8734375 0.89990234 0.91533203 0.94384766 0.95839844 0.97167969 0.97919922 0.99277344 1.0
CM05 0.74023437 0.80107422 0.82080078 0.85361328 0.8921875 0.91513672 0.92734375 0.95458984 0.97119141
BUH 0.7812439 0.86464844 0.88203125 0.90712891 0.93808594 0.95830078 0.96572266 0.98271484 0.99082031

Notes. We can see that all kernels converge toward 1 at higher Nsmooth.

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