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The inherent ability of smoothed particle hydrodynamics (SPH) to handle complex interfaces in fluid flow problems is highly attractive as it does not involve an explicit interface tracking algorithm. In case of multicomponent compressible SPH simulation, particularly for those involving large density ratios, employing multimass (particles with different values of mass) particle setup is inevitable. Even the fully conservative ∇h-SPH (Springel and Hernquist, 2002; Monaghan, 2002) formulation is found to suffer numerical errors around the Contact Discontinuity (CD), when the particle mass discontinuity is not properly accounted. This results in adverse artificial surface tension effect which hinders fluid mixing. Although the artificial surface tension effect is well known, a feature that is less discussed in the SPH literature is the formation of ‘spot/dot’ like structures, when multimass particles are used. These spots are formed by a circular/hexagonal ring of lower mass particles surrounding particles with higher mass. Though this issue was reported earlier in the work of Puri and Ramachandran (2014), no corrections were proposed. These structures are typically found in multimass particle simulations and disappear as the mass ratio of the interacting particles tend to unity.  A set of multimass correction terms which have been devised to enable better capture of contact discontinuities is presented in the following.

Asessment of multimass correction procedure

HIGH BUT NOT THE HIGHEST INTELLIGENCE,COMBINED WITH

THE GREATEST DEGREE OF PERSISTENCE

WILL ACHIEVE  GREATER EMINENCE THAN THE HIGHEST DEGREE OF

INTELLIGENCE WITH SOMEWHAT LESS PERSISTENCE 

- COX, 1926

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