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Smoothed Particle Hydrodynamics (SPH) in LS-DYNA®


  • Dr. M'hamed Souli
  • Dr. Edouard Yreux

Smoothed Particle Hydrodynamics (SPH) in LS-DYNA®


This class pro­vides en­gi­neers and re­searchers with the fun­da­men­tal the­o­ret­i­cal back­ground on the SPH for­mu­la­tion. It al­so overviews ap­pli­ca­tions of SPH to dif­fer­ent in­dus­tri­al prob­lems in de­fense, aero­space, au­to­mo­tive and con­sumer prod­ucts. The class em­pha­sizes which SPH for­mu­la­tion is suit­able for var­i­ous ap­pli­ca­tions in­clud­ing flu­id and sol­id ma­te­ri­als. To il­lus­trate dif­fer­ent SPH fea­tures, the class in­cludes a work­shop with around 30 LS-DY­NA in­put ex­am­ples cov­er­ing all key­words and con­tact en­ti­ties. Con­tact be­tween SPH and FEM parts and al­so be­tween dif­fer­ent SPH parts will be il­lus­trat­ed in 3D, 2D, and 2D ax­isym­met­ric prob­lems. A work­flow for set­ting up an SPH prob­lem in LS-Pre­Post® will al­so be dis­cussed.


  • SPH For­mu­la­tion Fun­da­men­tals
    • His­to­ry of the Method, Vari­able Smooth­ing Length
    • Spa­tial Dis­creti­sa­tion of Con­tin­u­um Equa­tions, Char­ac­ter­is­tic Lengths
    • Ker­nel Func­tions, Method Con­sis­ten­cy, Con­cept of Renor­mal­iza­tion
    • La­grangian, Euler­ian Forms of SPH, SPH/­La­grangian Cou­pling
  • Prac­ti­cal ex­am­ples of SPH and SPH/­La­grangian cou­pling
    • Gen­er­al Ca­pa­bil­i­ties/­Ap­pli­ca­tions
    • De­tails of an Ex­am­ple: Con­trol In­put, Ma­te­r­i­al, Sec­tions, Parts, Out­puts
    • Bound­ary Con­di­tions, Con­tacts, SPH/­La­grangian Cou­pling Op­tions
    • LS-Pre­Post: Cre­ation of SPH Par­ti­cles, Vi­su­al­iza­tion of SPH Par­ti­cles