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Compression by a spherical solid liner of a gold target surrounded by a hydrogen plasma is simulated. Two‐dimensional simulations that treat only a subset of the physics included in the one‐dimensional code were performed in an attempt to assess multidimensional effects. A one‐dimensional numerical code has been developed to study the effects of thermal radiation and conduction. Results of pressure, density, and energy deposited for different initial plasma conditions are presented and discussed. Results from both one‐ and two‐dimensional codes show that the average target density at peak compression is 39–43 g/cm3, using the SHIVA Star facility at 90 kV discharge.